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113862313152 = 26327149918839
BaseRepresentation
bin110101000001010111…
…0010000010011000000
3101212220021000210222100
41222002232100103000
53331142223010102
6124150240310400
711140420456440
oct1520256202300
9355807023870
10113862313152
114431a342155
121a098312400
13a9777410c3
145722136120
152e66221a1c
hex1a82b904c0

113862313152 has 168 divisors, whose sum is σ = 373258080000. Its totient is φ = 32508661248.

The previous prime is 113862313151. The next prime is 113862313157. The reversal of 113862313152 is 251313268311.

113862313152 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 623 + 13 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1138623131522 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113862313151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6034549 + ... + 6053387.

Almost surely, 2113862313152 is an apocalyptic number.

113862313152 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 113862313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186629040000).

113862313152 is an abundant number, since it is smaller than the sum of its proper divisors (259395766848).

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

113862313152 is a wasteful number, since it uses less digits than its factorization.

113862313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363 (or 20350 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 113862313152 in words is "one hundred thirteen billion, eight hundred sixty-two million, three hundred thirteen thousand, one hundred fifty-two".