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112550891040 = 25335721972699
BaseRepresentation
bin110100011010010001…
…1100100111000100000
3101202111212100200001000
41220310203210320200
53321001012003130
6123412152112000
711063054534400
oct1506443447040
9352455320030
10112550891040
1143807053325
1219991095600
13a7c8b371a3
145639cc0800
152ddb027260
hex1a348e4e20

112550891040 has 576 divisors, whose sum is σ = 460739664000. Its totient is φ = 25585846272.

The previous prime is 112550891027. The next prime is 112550891051. The reversal of 112550891040 is 40198055211.

112550891040 is a `hidden beast` number, since 1 + 1 + 25 + 508 + 91 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112550890986 and 112550891004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41699611 + ... + 41702309.

It is an arithmetic number, because the mean of its divisors is an integer number (799895250).

Almost surely, 2112550891040 is an apocalyptic number.

112550891040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112550891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230369832000).

112550891040 is an abundant number, since it is smaller than the sum of its proper divisors (348188772960).

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

112550891040 is a wasteful number, since it uses less digits than its factorization.

112550891040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 112550891040 in words is "one hundred twelve billion, five hundred fifty million, eight hundred ninety-one thousand, forty".