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113883882372 = 2232131481164309
BaseRepresentation
bin110101000010000000…
…0100010001110000100
3101212221202121122101100
41222010000202032010
53331213233213442
6124152330500100
711141102012451
oct1520400421604
9355852548340
10113883882372
1144330534457
121a0a3594630
13a97c053860
145724d4c828
152e6808284c
hex1a84022384

113883882372 has 72 divisors (see below), whose sum is σ = 310228453080. Its totient is φ = 35017320960.

The previous prime is 113883882361. The next prime is 113883882373. The reversal of 113883882372 is 273288388311.

113883882372 is a `hidden beast` number, since 113 + 8 + 83 + 8 + 82 + 372 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4571652996 + 109312229376 = 67614^2 + 330624^2 .

It is not an unprimeable number, because it can be changed into a prime (113883882373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610954 + ... + 775262.

It is an arithmetic number, because the mean of its divisors is an integer number (4308728515).

Almost surely, 2113883882372 is an apocalyptic number.

113883882372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113883882372 is an abundant number, since it is smaller than the sum of its proper divisors (196344570708).

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

113883882372 is a wasteful number, since it uses less digits than its factorization.

113883882372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165813 (or 165808 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 113883882372 in words is "one hundred thirteen billion, eight hundred eighty-three million, eight hundred eighty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1481 2962 4443 5924 8886 13329 17772 19253 26658 38506 53316 57759 77012 115518 164309 173277 231036 328618 346554 492927 657236 693108 985854 1478781 1971708 2136017 2957562 4272034 5915124 6408051 8544068 12816102 19224153 25632204 38448306 76896612 243341629 486683258 730024887 973366516 1460049774 2190074661 2920099548 3163441177 4380149322 6326882354 8760298644 9490323531 12653764708 18980647062 28470970593 37961294124 56941941186 113883882372