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112660795944 = 23341931595003
BaseRepresentation
bin110100011101100011…
…0110101001000101000
3101202210112011102020000
41220323012311020220
53321212130432234
6123431115503000
711065560652014
oct1507306651050
9352715142200
10112660795944
114386309a524
1219a01a57a60
13a815838188
14564a72d544
152de59d6899
hex1a3b1b5228

112660795944 has 320 divisors, whose sum is σ = 348758784000. Its totient is φ = 33839130240.

The previous prime is 112660795903. The next prime is 112660795967. The reversal of 112660795944 is 449597066211.

112660795944 is a `hidden beast` number, since 1 + 1 + 26 + 607 + 9 + 5 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×1126607959442 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22516147 + ... + 22521149.

It is an arithmetic number, because the mean of its divisors is an integer number (1089871200).

Almost surely, 2112660795944 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 112660795944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174379392000).

112660795944 is an abundant number, since it is smaller than the sum of its proper divisors (236097988056).

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

112660795944 is a wasteful number, since it uses less digits than its factorization.

112660795944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 112660795944 in words is "one hundred twelve billion, six hundred sixty million, seven hundred ninety-five thousand, nine hundred forty-four".