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113256772434 = 232132931195351
BaseRepresentation
bin110100101111010100…
…0010011001101010010
3101211100001121011021100
41221132220103031102
53323422213204214
6124010205405230
711116415452551
oct1513650231522
9354301534240
10113256772434
114403954a483
1219b49569816
13a8ac1555a0
1456a5949d98
152e2ceac309
hex1a5ea13352

113256772434 has 96 divisors (see below), whose sum is σ = 273517171200. Its totient is φ = 33629500800.

The previous prime is 113256772429. The next prime is 113256772469. The reversal of 113256772434 is 434277652311.

It is a happy number.

113256772434 is a `hidden beast` number, since 1 + 1 + 32 + 567 + 7 + 24 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113256772434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21162859 + ... + 21168209.

It is an arithmetic number, because the mean of its divisors is an integer number (2849137200).

Almost surely, 2113256772434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113256772434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136758585600).

113256772434 is an abundant number, since it is smaller than the sum of its proper divisors (160260398766).

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

113256772434 is a wasteful number, since it uses less digits than its factorization.

113256772434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8517 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 113256772434 in words is "one hundred thirteen billion, two hundred fifty-six million, seven hundred seventy-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3119 3393 5351 6238 6786 9357 10702 16053 18714 28071 32106 40547 48159 56142 69563 81094 90451 96318 121641 139126 155179 180902 208689 243282 271353 310358 364923 417378 465537 542706 626067 729846 814059 931074 1175863 1252134 1396611 1628118 2017327 2351726 2793222 3527589 4034654 6051981 7055178 10582767 12103962 16689769 18155943 21165534 33379538 36311886 50069307 100138614 150207921 216966997 300415842 433933994 484003301 650900991 968006602 1301801982 1452009903 1952702973 2904019806 3905405946 4356029709 6292042913 8712059418 12584085826 18876128739 37752257478 56628386217 113256772434