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113736262637312 = 287237192438017
BaseRepresentation
bin11001110111000101001001…
…100010000101011100000000
3112220201002011200212022000022
4121313011021202011130000
5104401423331213343222
61041521415010513012
732646113421112100
oct3167051142053400
9486632150768008
10113736262637312
1133270307184707
121090aa24295768
134b6038bc47923
142012c16201200
15d2381b84e042
hex677149885700

113736262637312 has 108 divisors (see below), whose sum is σ = 264165199063920. Its totient is φ = 48730985791488.

The previous prime is 113736262637303. The next prime is 113736262637353. The reversal of 113736262637312 is 213736262637311.

It is a super-2 number, since 2×1137362626373122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 45432128 + ... + 47870144.

Almost surely, 2113736262637312 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 113736262637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132082599531960).

113736262637312 is an abundant number, since it is smaller than the sum of its proper divisors (150428936426608).

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

113736262637312 is an equidigital number, since it uses as much as digits as its factorization.

113736262637312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441766 (or 2441745 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 53.

Subtracting 113736262637312 from its reverse (213736262637311), we obtain a palindrome (99999999999999).

The spelling of 113736262637312 in words is "one hundred thirteen trillion, seven hundred thirty-six billion, two hundred sixty-two million, six hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 3719 6272 7438 12544 14876 26033 29752 52066 59504 104132 119008 182231 208264 238016 364462 416528 476032 728924 833056 952064 1457848 1666112 2438017 2915696 3332224 4876034 5831392 6664448 9752068 11662784 17066119 19504136 23325568 34132238 39008272 46651136 68264476 78016544 119462833 136528952 156033088 238925666 273057904 312066176 477851332 546115808 624132352 955702664 1092231616 1911405328 2184463232 3822810656 4368926464 7645621312 9066985223 15291242624 18133970446 30582485248 36267940892 63468896561 72535881784 126937793122 145071763568 253875586244 290143527136 444282275927 507751172488 580287054272 888564551854 1015502344976 1160574108544 1777129103708 2031004689952 2321148217088 3554258207416 4062009379904 7108516414832 8124018759808 14217032829664 16248037519616 28434065659328 56868131318656 113736262637312