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112239429632 = 2111126732
BaseRepresentation
bin110100010000111111…
…1011100100000000000
3101201201011021210022022
41220201333130200000
53314331243222012
6123321224301012
711052253260551
oct1504177344000
9351634253268
10112239429632
1143667260800
1219904911768
13a7794555b5
14560a7a6328
152dbda02472
hex1a21fdc800

112239429632 has 108 divisors (see below), whose sum is σ = 247048069905. Its totient is φ = 50942115840.

The previous prime is 112239429587. The next prime is 112239429649. The reversal of 112239429632 is 236924932211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

112239429632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 108783870976 + 3455558656 = 329824^2 + 58784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=236896.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 166774448 + ... + 166775120.

Almost surely, 2112239429632 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 112239429632

112239429632 is an abundant number, since it is smaller than the sum of its proper divisors (134808640273).

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

112239429632 is an frugal number, since it uses more digits than its factorization.

112239429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 686 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The spelling of 112239429632 in words is "one hundred twelve billion, two hundred thirty-nine million, four hundred twenty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 673 704 968 1024 1346 1408 1936 2048 2692 2816 3872 5384 5632 7403 7744 10768 11264 14806 15488 21536 22528 29612 30976 43072 59224 61952 81433 86144 118448 123904 162866 172288 236896 247808 325732 344576 452929 473792 651464 689152 905858 947584 1302928 1378304 1811716 1895168 2605856 3623432 3790336 4982219 5211712 7246864 7580672 9964438 10423424 14493728 15161344 19928876 20846848 28987456 39857752 41693696 54804409 57974912 79715504 83387392 109608818 115949824 159431008 166774784 219217636 231899648 318862016 438435272 463799296 637724032 876870544 927598592 1275448064 1753741088 2550896128 3507482176 5101792256 7014964352 10203584512 14029928704 28059857408 56119714816 112239429632