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112729812608 = 2771931227941
BaseRepresentation
bin110100011111100111…
…0000110111010000000
3101202222100000211021202
41220333032012322000
53321332313000413
6123442023040332
711100356411540
oct1507716067200
9352870024252
10112729812608
1143899049796
1219a20ba00a8
13a826c2123a
145655977320
152debabae58
hex1a3f386e80

112729812608 has 256 divisors, whose sum is σ = 280411545600. Its totient is φ = 44051558400.

The previous prime is 112729812581. The next prime is 112729812631. The reversal of 112729812608 is 806218927211.

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, 119797418 + ... + 119798358.

It is an arithmetic number, because the mean of its divisors is an integer number (1095357600).

Almost surely, 2112729812608 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 112729812608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140205772800).

112729812608 is an abundant number, since it is smaller than the sum of its proper divisors (167681732992).

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

112729812608 is a wasteful number, since it uses less digits than its factorization.

112729812608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The spelling of 112729812608 in words is "one hundred twelve billion, seven hundred twenty-nine million, eight hundred twelve thousand, six hundred eight".