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112288558834816 = 277139640157867
BaseRepresentation
bin11001100010000000110111…
…101010010110010010000000
3112201120200101201202020201121
4121202000313222112102000
5104204213432030203231
61034452352442042024
732436403110612460
oct3142006752262200
9481520351666647
10112288558834816
1132862346118561
12107163371a9314
134a869c52144b0
141da2b1c223ba0
15cead3a719311
hex662037a96480

112288558834816 has 64 divisors (see below), whose sum is σ = 275322908710080. Its totient is φ = 44421847446528.

The previous prime is 112288558834813. The next prime is 112288558834831. The reversal of 112288558834816 is 618438855882211.

112288558834816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (112288558834813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4820067286 + ... + 4820090581.

It is an arithmetic number, because the mean of its divisors is an integer number (4301920448595).

Almost surely, 2112288558834816 is an apocalyptic number.

112288558834816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112288558834816 is an abundant number, since it is smaller than the sum of its proper divisors (163034349875264).

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

112288558834816 is an equidigital number, since it uses as much as digits as its factorization.

112288558834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9640157901 (or 9640157889 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 70.

The spelling of 112288558834816 in words is "one hundred twelve trillion, two hundred eighty-eight billion, five hundred fifty-eight million, eight hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 9640157867 19280315734 38560631468 67481105069 77121262936 125322052271 134962210138 154242525872 250644104542 269924420276 308485051744 501288209084 539848840552 616970103488 877254365897 1002576418168 1079697681104 1233940206976 1754508731794 2005152836336 2159395362208 3509017463588 4010305672672 4318790724416 7018034927176 8020611345344 8637581448832 14036069854352 16041222690688 28072139708704 56144279417408 112288558834816