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113252660676 = 223660436427
BaseRepresentation
bin110100101111001100…
…0100111010111000100
3101211022202212021000000
41221132120213113010
53323420140120201
6124005541321300
711116335506121
oct1513630472704
9354282767000
10113252660676
11440371a1231
1219b48106230
13a8ab345bac
1456a5199748
152e2c948d86
hex1a5e6275c4

113252660676 has 84 divisors (see below), whose sum is σ = 297247715632. Its totient is φ = 37738767024.

The previous prime is 113252660627. The next prime is 113252660681. The reversal of 113252660676 is 676066252311.

113252660676 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 526 + 60 + 67 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17618175 + ... + 17624601.

Almost surely, 2113252660676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113252660676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148623857816).

113252660676 is an abundant number, since it is smaller than the sum of its proper divisors (183995054956).

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

113252660676 is an equidigital number, since it uses as much as digits as its factorization.

113252660676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 113252660676 in words is "one hundred thirteen billion, two hundred fifty-two million, six hundred sixty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 6043 6427 12086 12854 18129 19281 24172 25708 36258 38562 54387 57843 72516 77124 108774 115686 163161 173529 217548 231372 326322 347058 489483 520587 652644 694116 978966 1041174 1468449 1561761 1957932 2082348 2936898 3123522 4405347 4685283 5873796 6247044 8810694 9370566 17621388 18741132 38838361 77676722 116515083 155353444 233030166 349545249 466060332 699090498 1048635747 1398180996 2097271494 3145907241 4194542988 6291814482 9437721723 12583628964 18875443446 28313165169 37750886892 56626330338 113252660676