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268580110064552 = 231121328297754249
BaseRepresentation
bin111101000100010110101110…
…000011011101101110101000
31022012222000012122211121211022
4331010112232003131232220
5240200404031134031202
62351115555455552012
7110400162334544516
oct7504265603355650
91265860178747738
10268580110064552
117863a204298300
122615875b52b608
13b6b2cc373c940
144a474bd4494b6
15210b5b969aea2
hexf445ae0ddba8

268580110064552 has 96 divisors (see below), whose sum is σ = 596131398345000. Its totient is φ = 112686823434240.

The previous prime is 268580110064533. The next prime is 268580110064557. The reversal of 268580110064552 is 255460011085862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49911314262436 + 218668795802116 = 7064794^2 + 14787454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268580110064494 and 268580110064503.

It is not an unprimeable number, because it can be changed into a prime (268580110064557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355712324 + ... + 356466572.

Almost surely, 2268580110064552 is an apocalyptic number.

268580110064552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268580110064552 is an abundant number, since it is smaller than the sum of its proper divisors (327551288280448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268580110064552 is a wasteful number, since it uses less digits than its factorization.

268580110064552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782587 (or 782572 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 53.

The spelling of 268580110064552 in words is "two hundred sixty-eight trillion, five hundred eighty billion, one hundred ten million, sixty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 3146 6292 12584 28297 56594 113188 226376 311267 367861 622534 735722 754249 1245068 1471444 1508498 2490136 2942888 3016996 3423937 4046471 6033992 6847874 8092942 8296739 9805237 13695748 16185884 16593478 19610474 27391496 32371768 33186956 39220948 44511181 66373912 78441896 89022362 91264129 107857607 178044724 182528258 215715214 356089448 365056516 431430428 730113032 862860856 1186433677 2372867354 4745734708 9491469416 21342983953 42685967906 85371935812 170743871624 234772823483 277458791389 469545646966 554917582778 939091293932 1109835165556 1878182587864 2219670331112 2582501058313 3052046705279 5165002116626 6104093410558 10330004233252 12208186821116 20660008466504 24416373642232 33572513758069 67145027516138 134290055032276 268580110064552