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112166939808 = 25337113375003
BaseRepresentation
bin110100001110110101…
…0111010110010100000
3101201112002212220222000
41220131222322302200
53314204214033213
6123310114444000
711050413154140
oct1503552726240
9351462786860
10112166939808
114362a34a060
12198a4593600
13a767424701
145600cd6920
152db7483c73
hex1a1dabaca0

112166939808 has 384 divisors, whose sum is σ = 409171875840. Its totient is φ = 29042012160.

The previous prime is 112166939791. The next prime is 112166939827. The reversal of 112166939808 is 808939661211.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22417435 + ... + 22422437.

It is an arithmetic number, because the mean of its divisors is an integer number (1065551760).

Almost surely, 2112166939808 is an apocalyptic number.

112166939808 is a gapful number since it is divisible by the number (18) 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 112166939808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204585937920).

112166939808 is an abundant number, since it is smaller than the sum of its proper divisors (297004936032).

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

112166939808 is a wasteful number, since it uses less digits than its factorization.

112166939808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 112166939808 in words is "one hundred twelve billion, one hundred sixty-six million, nine hundred thirty-nine thousand, eight hundred eight".