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112866503904 = 253271121721601
BaseRepresentation
bin110100100011101011…
…1100010110011100000
3101210022212020110111100
41221013113202303200
53322122311111104
6123503344514400
711103636311460
oct1510727426340
9353285213440
10112866503904
1143959220a00
1219a5a91ba00
13a84934056b
145669b99ba0
152e08abc139
hex1a475e2ce0

112866503904 has 648 divisors, whose sum is σ = 428574588624. Its totient is φ = 27574272000.

The previous prime is 112866503903. The next prime is 112866503927. The reversal of 112866503904 is 409305668211.

It is a self number, because there is not a number n which added to its sum of digits gives 112866503904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112866503903) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 70496704 + ... + 70498304.

It is an arithmetic number, because the mean of its divisors is an integer number (661380538).

Almost surely, 2112866503904 is an apocalyptic number.

112866503904 is a gapful number since it is divisible by the number (14) 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 112866503904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214287294312).

112866503904 is an abundant number, since it is smaller than the sum of its proper divisors (315708084720).

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

112866503904 is a wasteful number, since it uses less digits than its factorization.

112866503904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 112866503904 in words is "one hundred twelve billion, eight hundred sixty-six million, five hundred three thousand, nine hundred four".