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113104751760 = 243457211134753
BaseRepresentation
bin110100101010110010…
…0011000110010010000
3101210221110112201010000
41221111210120302100
53323114304024020
6123543135210000
711112561345600
oct1512544306220
9353843481100
10113104751760
1143a70758060
1219b06676900
13a8867c9a20
14568d696c00
152e1e97e090
hex1a55918c90

113104751760 has 2400 divisors, whose sum is σ = 558621245952. Its totient is φ = 20832215040.

The previous prime is 113104751729. The next prime is 113104751827. The reversal of 113104751760 is 67157401311.

It is a happy number.

113104751760 is a `hidden beast` number, since 1 + 1 + 3 + 10 + 475 + 176 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2134051894 + ... + 2134051946.

Almost surely, 2113104751760 is an apocalyptic number.

113104751760 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 113104751760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279310622976).

113104751760 is an abundant number, since it is smaller than the sum of its proper divisors (445516494192).

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

113104751760 is a wasteful number, since it uses less digits than its factorization.

113104751760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 113104751760 in words is "one hundred thirteen billion, one hundred four million, seven hundred fifty-one thousand, seven hundred sixty".