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113665240116 = 22335331363443
BaseRepresentation
bin110100111011011111…
…0011110110000110100
3101212101112012110121000
41221312332132300310
53330241300140431
6124114520323300
711132505412461
oct1516676366064
9355345173530
10113665240116
114422907927a
121a042313530
13a94597013c
145703cb6668
152e53c949e6
hex1a76f9ec34

113665240116 has 96 divisors (see below), whose sum is σ = 301211809920. Its totient is φ = 37054188288.

The previous prime is 113665240093. The next prime is 113665240141. The reversal of 113665240116 is 611042566311.

113665240116 is a `hidden beast` number, since 1 + 13 + 6 + 6 + 524 + 0 + 116 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759891 + ... + 1823333.

It is an arithmetic number, because the mean of its divisors is an integer number (3137623020).

Almost surely, 2113665240116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113665240116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150605904960).

113665240116 is an abundant number, since it is smaller than the sum of its proper divisors (187546569804).

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

113665240116 is a wasteful number, since it uses less digits than its factorization.

113665240116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63822 (or 63814 counting only the distinct ones).

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

The spelling of 113665240116 in words is "one hundred thirteen billion, six hundred sixty-five million, two hundred forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 313 318 477 626 636 939 954 1252 1431 1878 1908 2817 2862 3756 5634 5724 8451 11268 16589 16902 33178 33804 49767 63443 66356 99534 126886 149301 190329 199068 253772 298602 380658 447903 570987 597204 761316 895806 1141974 1712961 1791612 2283948 3362479 3425922 6724958 6851844 10087437 13449916 19857659 20174874 30262311 39715318 40349748 59572977 60524622 79430636 90786933 119145954 121049244 178718931 181573866 238291908 357437862 363147732 536156793 714875724 1052455927 1072313586 2104911854 2144627172 3157367781 4209823708 6314735562 9472103343 12629471124 18944206686 28416310029 37888413372 56832620058 113665240116