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112557043872 = 253272131274831
BaseRepresentation
bin110100011010011101…
…1000011000010100000
3101202112021221021010200
41220310323003002200
53321004100400442
6123412532025200
711063161041600
oct1506473030240
9352467837120
10112557043872
114380a576009
1219993162200
13a7ca1ac910
14563aa42c00
152ddb84034c
hex1a34ec30a0

112557043872 has 432 divisors, whose sum is σ = 404225482752. Its totient is φ = 29445534720.

The previous prime is 112557043813. The next prime is 112557043883. The reversal of 112557043872 is 278340755211.

112557043872 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 570 + 4 + 3 + 8 + 72 = 666.

112557043872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23296497 + ... + 23301327.

It is an arithmetic number, because the mean of its divisors is an integer number (935707136).

Almost surely, 2112557043872 is an apocalyptic number.

112557043872 is a gapful number since it is divisible by the number (12) 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 112557043872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202112741376).

112557043872 is an abundant number, since it is smaller than the sum of its proper divisors (291668438880).

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

112557043872 is a wasteful number, since it uses less digits than its factorization.

112557043872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 112557043872 in words is "one hundred twelve billion, five hundred fifty-seven million, forty-three thousand, eight hundred seventy-two".