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113636438696 = 231141474791399
BaseRepresentation
bin110100111010101000…
…0100111001010101000
3101212022112000012110202
41221311100213022220
53330211412014241
6124112011131332
711132005535354
oct1516520471250
9355275005422
10113636438696
1144213897350
121a034743b48
13a93c9c7891
14570013a464
152e514a5d9b
hex1a754272a8

113636438696 has 128 divisors (see below), whose sum is σ = 243855360000. Its totient is φ = 49182758400.

The previous prime is 113636438653. The next prime is 113636438759. The reversal of 113636438696 is 696834636311.

113636438696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81226205 + ... + 81227603.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120000).

Almost surely, 2113636438696 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 113636438696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680000).

113636438696 is an abundant number, since it is smaller than the sum of its proper divisors (130218921304).

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

113636438696 is a wasteful number, since it uses less digits than its factorization.

113636438696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1979 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 56.

The spelling of 113636438696 in words is "one hundred thirteen billion, six hundred thirty-six million, four hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 164 188 328 376 451 479 517 902 958 1034 1399 1804 1916 1927 2068 2798 3608 3832 3854 4136 5269 5596 7708 10538 11192 15389 15416 19639 21076 21197 22513 30778 39278 42152 42394 45026 57359 61556 65753 78556 84788 90052 114718 123112 131506 157112 169576 180104 216029 229436 247643 263012 432058 458872 495286 526024 630949 670121 723283 864116 923033 990572 1261898 1340242 1446566 1728232 1846066 1981144 2523796 2680484 2695873 2893132 3692132 5047592 5360968 5391746 5786264 7371331 7384264 10153363 10783492 14742662 20306726 21566984 27474961 29485324 29654603 31495687 40613452 54949922 58970648 59309206 62991374 81226904 109899844 118618412 125982748 219799688 237236824 251965496 302224571 346452557 604449142 692905114 1208898284 1291323167 1385810228 2417796568 2582646334 2771620456 5165292668 10330585336 14204554837 28409109674 56818219348 113636438696