Numbers 66,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

60,000,000 61,000,00062,000,00063,000,000 – 64,000,000

65,000,00066,000,00067,000,00068,000,00069,000,000

All Numbers  & [1M] & [10M- [20M] - [30M] - [40M] - [50M] - [60M] - [70M] - [80M] - [90M]  &  [100M]

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66,011,985

[Math.]  A pair of amicable numbers (63717615, 66011985).

 

66,064,384

[Math.]  Sum of the first 127 cube numbers:

13+23+…+1263+1273 = 66,064,384 = (1+2+…+126+127)2 = 81282.

 

66,595,130

[Math.]  A pair of amicable numbers (66595130, 74824390).

 

66,612,223

[Math.]  66,612,223 and 36,662,221 are prime numbers, where 666×1 = 222×3.

 

66,663,334

[Math.]  

642 = 4096 = 4095+1

66342 = 44009956 = 44009955+1

666,3342 = 444,000,999,556 = 444,000,999,555+1

666633342 = 4444000099995556 = 4444000099995555+1

...

 

66,666,665

[Math.]  Square of numbers of similar pattern xxy, where y = x–1.

* 1102 = 012,100 & 012+100 = 112 = 110+2

* 3322 = 110,224 & 110+224 = 334 = 332+2.

Similarly, 3…322 = 1…102…24 & 1…10+2…24 = 3…34 = 3…32+2.

* 4432 = 196,249 & 196+249 = 445 = 443+2

* 6652 = 442,225 & 442+225 = 667 = 665+2.

Similarly, 6…652 = 4…422…25 & 4…42+2…25 = 6…67 = 6…65+2.

66,666,6652 = 4444444222222225 & 44,444,442+22,222,225 = 66,666,667 = 66,666,665+2

* 7762 = 602,176 & 602+176 = 778 = 776+2. 

 

[Math.]  Repeatedly inserting numbers 42 between the digits 4 and 2 in the square number 4225 = 652 yields other squares 442225 = 6652, 44422225 = 66652, 444222225 = 666652

 

66,666,666.333333332…

[Math.] 

401/2 = 6.32…

44001/2 = 66.332…

4440001/2 = 666.3332…

444400001/2 = 6666.33332…

44444000001/2 = 66666.333332…

4444440000001/2 = 666666.3333332…

444444400000001/2 = 6666666.33333332…

44444444000000001/2 = 66666666.333333332

4444444440000000001/2 = 666666666.3333333332…

44444444440000000001/2 = 6666666666.33333333332...


66,666,667

[Math.]  A prime number.

  

[Math.]  33333333,66666667,00000000 = 33,333,3333+66,666,6673+000000003

and 33333333,66666667,00000001 = 33,333,3333+66,666,6673+000000013.

 

1,333,3333,466,666,667 = 133,333,3342–66,666,6672 = (133333334+66666667)×66666667. (Generalizable)

 

333,333,340,000,000,066,666,667 = 333333343+000000003+666666673 and

333,333,340,001,000,066,666,667 = 333333343+000100003+666666673.

 

[Math.]  Repeatedly inserting numbers 48 in the middle of the square number 49 yields other squares 4489 = 672, 444889 = 6672, 44448889 = 66672, 4444488889 = 666672

 

66,666,668

[Math.]  (Generalizable)

3,333,333,466,666,668 = 66,666,6682–33,333,3342 = (33333334+66666668)×33333334.

  

66,666,661, 66,666,663, 66,666,664, 66,666,666, 66,666,667, 66,666,668 & 66,666,669

66,666,670, 66,666,671, 66,666,672, 66,666,674 & 66,666,675,

[Math.]   

66×64 = 4224

66×67 = 4422

66×68 = 4488

66×69 = 4554

66×74 = 4884

66666666×66666661 = 4444444022222226

66666666×66666669 = 4444444555555554

66666666×66666663 = 4444444155555558

66666666×66666670 = 4444444622222220

66666666×66666664 = 4444444222222224

66666666×66666671 = 4444444688888886

66666666×66666666 = 4444444355555556

66666666×66666672 = 4444444755555552

66666666×66666667 = 4444444422222222

66666666×66666674 = 4444444888888884

66666666×66666668 = 4444444488888888

66666666×66666675 = 4444444955555550

… (generalizable pattern) …

 

66,854,710

[Math.]  A pair of amicable numbers (66854710, 71946890).

 

xy,abc,def

[Math.]  For any xy = 10 to 99, there are always six 6-digit numbers abc,edf such that the sum (xy+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number xy,abc,def is a multiple of 142,857.

 

For any xy = 10 to 99, there are always twelve 6-digit numbers abc,edf such that the sum (xy+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xy,abc,def is a multiple of 76,923.