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113720026176 = 2632140512
BaseRepresentation
bin110100111101000111…
…1011110010001000000
3101212112100021212221100
41221322033132101000
53330344311314201
6124124154454400
711134042162551
oct1517217362100
9355470255840
10113720026176
1144256a98909
121a058734400
13a954112b23
14570b298328
152e589b7886
hex1a7a3de440

113720026176 has 63 divisors (see below), whose sum is σ = 325981122103. Its totient is φ = 37903977600.

The previous prime is 113720026157. The next prime is 113720026183. The reversal of 113720026176 is 671620027311.

It is a happy number.

The square root of 113720026176 is 337224.

It is a perfect power (a square), and thus also a powerful number.

113720026176 is a `hidden beast` number, since 1 + 1 + 37 + 2 + 0 + 0 + 2 + 617 + 6 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113720026176.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8086351 + ... + 8100401.

Almost surely, 2113720026176 is an apocalyptic number.

113720026176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113720026176 is the 337224-th square number.

It is an amenable number.

113720026176 is an abundant number, since it is smaller than the sum of its proper divisors (212261095927).

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

113720026176 is an frugal number, since it uses more digits than its factorization.

113720026176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28120 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Multiplying 113720026176 by its sum of digits (36), we get a square (4093920942336 = 20233442).

113720026176 divided by its sum of digits (36) gives a square (3158889616 = 562042).

The spelling of 113720026176 in words is "one hundred thirteen billion, seven hundred twenty million, twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 14051 28102 42153 56204 84306 112408 126459 168612 224816 252918 337224 449632 505836 674448 899264 1011672 1348896 2023344 2697792 4046688 8093376 197430601 394861202 592291803 789722404 1184583606 1579444808 1776875409 2369167212 3158889616 3553750818 4738334424 6317779232 7107501636 9476668848 12635558464 14215003272 18953337696 28430006544 37906675392 56860013088 113720026176