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112775862022560 = 253251137192424007
BaseRepresentation
bin11001101001000110101101…
…001100011111000110100000
3112210022021012201200001220100
4121221012231030133012200
5104240204431134210220
61035504303224342400
732516533664431602
oct3151065514370640
9483267181601810
10112775862022560
1132a2aa7a061a90
1210794874014a00
134ac0944a362b9
141dbc549081172
15d0885b838d90
hex6691ad31f1a0

112775862022560 has 288 divisors, whose sum is σ = 431180638342272. Its totient is φ = 26600694589440.

The previous prime is 112775862022553. The next prime is 112775862022601. The reversal of 112775862022560 is 65220268577211.

It is a happy number.

112775862022560 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 5 + 8 + 620 + 2 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 112775862022497 and 112775862022506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95625924 + ... + 96798083.

It is an arithmetic number, because the mean of its divisors is an integer number (1497154994244).

Almost surely, 2112775862022560 is an apocalyptic number.

112775862022560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112775862022560 is an abundant number, since it is smaller than the sum of its proper divisors (318404776319712).

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

112775862022560 is a wasteful number, since it uses less digits than its factorization.

112775862022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192424076 (or 192424065 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 112775862022560 in words is "one hundred twelve trillion, seven hundred seventy-five billion, eight hundred sixty-two million, twenty-two thousand, five hundred sixty".