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113084771832 = 233259793171063
BaseRepresentation
bin110100101010001100…
…0001010110111111000
3101210220001221121210200
41221110120022313320
53323044200144312
6123541143042200
711112226462224
oct1512430126770
9353801847720
10113084771832
1143a6045091a
1219abba40360
13a882622796
14568ab75784
152e1cd340dc
hex1a5460adf8

113084771832 has 192 divisors, whose sum is σ = 316697472000. Its totient is φ = 36437236992.

The previous prime is 113084771831. The next prime is 113084771837. The reversal of 113084771832 is 238177480311.

113084771832 is a `hidden beast` number, since 1 + 130 + 8 + 477 + 18 + 32 = 666.

113084771832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113084771831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106382133 + ... + 106383195.

It is an arithmetic number, because the mean of its divisors is an integer number (1649466000).

Almost surely, 2113084771832 is an apocalyptic number.

113084771832 is a gapful number since it is divisible by the number (12) 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 113084771832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158348736000).

113084771832 is an abundant number, since it is smaller than the sum of its proper divisors (203612700168).

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

113084771832 is a wasteful number, since it uses less digits than its factorization.

113084771832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 113084771832 in words is "one hundred thirteen billion, eighty-four million, seven hundred seventy-one thousand, eight hundred thirty-two".