Numbers 260,000,000,000s

260,666,408,025

[Math.]  Sum of the first 1010 cube numbers:

13+…+10103 = 260,666,408,025 = (1+…+1010)2 = 510,5552.

260,835,326,545

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

260,835,326,545 = 421952+…+423402 = 423412+…+424852.

261,699,772,356

[Math.]  Sum of the first 1011 cube numbers:

13+…+10113 = 261,699,772,356 = (1+…+1011)2 = 511,5662.

262,736,206,084

[Math.]  Sum of the first 1012 cube numbers:

13+…+10123 = 262,736,206,084 = (1+…+1012)2 = 512,5782.

263,775,715,281

[Math.]  Sum of the first 1013 cube numbers:

13+…+10133 = 263,775,715,281 = (1+…+1013)2 = 513,5912.

264,818,306,025

[Math.]  Sum of the first 1014 cube numbers:

13+…+10143 = 264,818,306,025 = (1+…+1014)2 = 514,6052.

265,863,984,400

[Math.]  Sum of the first 1015 cube numbers:

13+…+10153 = 265,863,984,400 = (1+…+1015)2 = 515,6202.

266,912,756,496

[Math.]  Sum of the first 1016 cube numbers:

13+…+10163 = 265,863,984,400 = (1+…+1016)2 = 516,6362.

267,463,420,307

[Math.]   64433 = 267,463,420,307 has each of its digits occurring twice.

267,964,628,409

[Math.]  Sum of the first 1017 cube numbers:

13+…+10173 = 267,964,628,409 = (1+…+1017)2 = 517,6532.

269,019,606,241

[Math.]  Sum of the first 1018 cube numbers:

13+…+10183 = 269,019,606,241 = (1+…+1018)2 = 518,6712.

269,922,870,245

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

269,922,870,245 = 427782+…+429242 = 429252+…+430702.