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117524942136 = 23327571408379
BaseRepresentation
bin110110101110100001…
…0000100110100111000
3102020100111220122101200
41231131002010310320
53411142341122021
6125553515214200
711330243345160
oct1553502046470
9366314818350
10117524942136
1145929847558
121a93aa47360
13b10c4ab9a4
14598c7495a0
1530cca55126
hex1b5d084d38

117524942136 has 96 divisors (see below), whose sum is σ = 364405641600. Its totient is φ = 33519666240.

The previous prime is 117524942081. The next prime is 117524942179. The reversal of 117524942136 is 631249425711.

117524942136 is a `hidden beast` number, since 1 + 1 + 7 + 524 + 94 + 2 + 1 + 36 = 666.

It is a super-2 number, since 2×1175249421362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117524942091 and 117524942100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 83595 + ... + 491973.

It is an arithmetic number, because the mean of its divisors is an integer number (3795892100).

Almost surely, 2117524942136 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 117524942136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182202820800).

117524942136 is an abundant number, since it is smaller than the sum of its proper divisors (246880699464).

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

117524942136 is a wasteful number, since it uses less digits than its factorization.

117524942136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408969 (or 408962 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 117524942136 in words is "one hundred seventeen billion, five hundred twenty-four million, nine hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 571 1142 1713 2284 3426 3997 4568 5139 6852 7994 10278 11991 13704 15988 20556 23982 31976 35973 41112 47964 71946 95928 143892 287784 408379 816758 1225137 1633516 2450274 2858653 3267032 3675411 4900548 5717306 7350822 8575959 9801096 11434612 14701644 17151918 22869224 25727877 29403288 34303836 51455754 68607672 102911508 205823016 233184409 466368818 699553227 932737636 1399106454 1632290863 1865475272 2098659681 2798212908 3264581726 4197319362 4896872589 5596425816 6529163452 8394638724 9793745178 13058326904 14690617767 16789277448 19587490356 29381235534 39174980712 58762471068 117524942136