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112835689413696 = 2632195895294121
BaseRepresentation
bin11001101001111110011011…
…001011110111110001000000
3112210111222122012110102210200
4121221332123023313301000
5104242144442442214241
61035552000005125200
732524052400033504
oct3151763313676100
9483458565412720
10112835689413696
1132a53390065497
12107a43900b9800
134ac648a7a9862
141dc13c2a42304
15d0a1add434b6
hex669f9b2f7c40

112835689413696 has 42 divisors (see below), whose sum is σ = 323423130595422. Its totient is φ = 37611896471040.

The previous prime is 112835689413661. The next prime is 112835689413697. The reversal of 112835689413696 is 696314986538211.

It is a happy number.

112835689413696 is a `hidden beast` number, since 1 + 1 + 2 + 83 + 56 + 89 + 413 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73560400413696 + 39275289000000 = 8576736^2 + 6267000^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (112835689413697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97947646485 + ... + 97947647636.

Almost surely, 2112835689413696 is an apocalyptic number.

112835689413696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112835689413696 is an abundant number, since it is smaller than the sum of its proper divisors (210587441181726).

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

112835689413696 is a wasteful number, since it uses less digits than its factorization.

112835689413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195895294139 (or 195895294126 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 112835689413696 in words is "one hundred twelve trillion, eight hundred thirty-five billion, six hundred eighty-nine million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 195895294121 391790588242 587685882363 783581176484 1175371764726 1567162352968 1763057647089 2350743529452 3134324705936 3526115294178 4701487058904 6268649411872 7052230588356 9402974117808 12537298823744 14104461176712 18805948235616 28208922353424 37611896471232 56417844706848 112835689413696