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112237560832 = 2109710632
BaseRepresentation
bin110100010000111100…
…0010100010000000000
3101201201000202211210111
41220201320110100000
53314330303421312
6123321120241104
711052231345265
oct1504170242000
9351630684714
10112237560832
11436661a4741
1219904170194
13a778c4cab7
14560a43b26c
152dbd7838a7
hex1a21e14400

112237560832 has 66 divisors (see below), whose sum is σ = 226892005998. Its totient is φ = 55487987712.

The previous prime is 112237560727. The next prime is 112237560857. The reversal of 112237560832 is 238065732211.

It can be written as a sum of positive squares in only one way, i.e., 93724148736 + 18513412096 = 306144^2 + 136064^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 105585133 + ... + 105586195.

Almost surely, 2112237560832 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 112237560832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113446002999).

112237560832 is an abundant number, since it is smaller than the sum of its proper divisors (114654445166).

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

112237560832 is an frugal number, since it uses more digits than its factorization.

112237560832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 112237560832 in words is "one hundred twelve billion, two hundred thirty-seven million, five hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1063 1552 2126 3104 4252 6208 8504 12416 17008 24832 34016 49664 68032 99328 103111 136064 206222 272128 412444 544256 824888 1088512 1129969 1649776 2259938 3299552 4519876 6599104 9039752 13198208 18079504 26396416 36159008 52792832 72318016 105585664 109606993 144636032 219213986 289272064 438427972 578544128 876855944 1157088256 1753711888 3507423776 7014847552 14029695104 28059390208 56118780416 112237560832