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112153168960 = 26573111314293
BaseRepresentation
bin110100001110011011…
…0011000110001000000
3101201111010222021220121
41220130312120301000
53314142202401320
6123304503350024
711050155130660
oct1503466306100
9351433867817
10112153168960
11436225a3898
121989ba52314
13a764612691
1455dd1501a0
152db61638aa
hex1a1cd98c40

112153168960 has 224 divisors, whose sum is σ = 317872945152. Its totient is φ = 36880220160.

The previous prime is 112153168889. The next prime is 112153169017. The reversal of 112153168960 is 69861351211.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7839574 + ... + 7853866.

It is an arithmetic number, because the mean of its divisors is an integer number (1419075648).

Almost surely, 2112153168960 is an apocalyptic number.

112153168960 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 112153168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158936472576).

112153168960 is an abundant number, since it is smaller than the sum of its proper divisors (205719776192).

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

112153168960 is a wasteful number, since it uses less digits than its factorization.

112153168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14461 (or 14451 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 112153168960 in words is "one hundred twelve billion, one hundred fifty-three million, one hundred sixty-eight thousand, nine hundred sixty".