A page of the Numeropedia - the Special Encyclopedia of Numbers

8,000,000,000 – 8,100,000,000 – 8,200,000,000 – 8,300,000,000 – 8,400,000,000

8,500,000,000 – 8,600,000,000 – 8,700,000,000 – 8,800,000,000 – 8,900,000,000

All Numbers – __[__1B] – [2B] – [3B] – [4B] – [5B] – [6B] – [7B] – [8B] – [9B] & [10B]

1 - 10 - 100 - 1000 - 10,000 - 100,000 - 1M - 10M - 100M - 1B - 10B - 100B - 1T - 10T - 100T - 1Q ...

**8,503,421,796**

[Math.] 92214^{2} = 8,503,421,796, a square number using each of 10 digits 0-9 once. (The 80^{th} of 87 such numbers).

** **

**8,507,295,225 **

[Math.] Sum of the first 429 cube numbers:

1^{3}+…+429^{3 }= 8,507,295,225 = (1+2+…+429)^{2} = 92,235^{2}.

** **

**8,549,176,320 **

[Language] The 10-digit number whose digits are distinct and in the English alphabetical consecutive order.

** **

**8,574,218,751 **

[Math.] Its odd powers end with 8,574,218,751. Its even powers end with 0,000,000,001.

** **

**8,579,523,925**

[Math.] Two consecutive sums of consecutive square numbers:

8,579,523,925 = 10731^{2}+…+10804^{2} = 10805^{2}+…+10877^{2}.

** **

**8,586,802,225 **

[Math.] Sum of the first 430 cube numbers:

1^{3}+…+430^{3 }= 8,586,802,225 = (1+2+…+430)^{2} = 92,665^{2}.

** **

**8,589,869,056 **

[Math.] A triangular number (sum of all integers from 1 to 131071): 8,589,869,056 = 1+2+…+131070+131071.

** **

**8,589,869,056**

[Math.] The 6^{th} perfect number; i.e., a number equal to the sum of all of its proper divisors, including 1 (or also called aliquot divisors). The first perfect numbers are: 6, 28, 496, 8128, 2^{12}(2^{13}–1) = 33550336, 2^{16}(2^{17}–1) = 8,589,869,056, 2^{18}(2^{19}–1) = 137,438,691,328…

** **

**8,589,934,592 **

[Math.] The largest known power of 10 that can be represented as the product of 2 numbers, which have no digits 0: 10^{33} = 2^{33}×5^{33 }= 8,589,934,592×116,415,321,826,934,814,453,125.

** **

**8,589,935,681 **

[Math.] One of only a few prime numbers of the form (*x ^{y}*+

*y*): 8589935681 = 2

^{x}^{33}+33

^{2}.

* *

**x,yzw,abc,def**

[Math.] For any *x,yzw* = 1000 to 9999, there are always six 6-digit numbers *abc,edf *such that *x,yzw* +*abc,def* is equal to one of 6 digit-rotations of 142,857 and the number *x,yzw,abc,def* is a multiple of 142,857.

For any *x,yzw* = 1000 to 9999, there are always twelve 6-digit numbers *abc,edf *such that *x,yzw* +*abc,def* is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number *x,yzw,abc,def* is a multiple of 76,923.