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112218266016 = 2532389646757
BaseRepresentation
bin110100010000010111…
…0101101100110100000
3101201122200110120021200
41220200232231212200
53314310334003031
6123315150521200
711051605344213
oct1504056554640
9351580416250
10112218266016
114365631620a
12198b9806200
13a774c5564c
145607a5777a
152dbbc218e6
hex1a20bad9a0

112218266016 has 36 divisors (see below), whose sum is σ = 319120694802. Its totient is φ = 37406088576.

The previous prime is 112218266003. The next prime is 112218266021. The reversal of 112218266016 is 610662812211.

It is a happy number.

112218266016 is a `hidden beast` number, since 1 + 1 + 2 + 21 + 8 + 26 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69284768400 + 42933497616 = 263220^2 + 207204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 194823091 + ... + 194823666.

Almost surely, 2112218266016 is an apocalyptic number.

112218266016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112218266016 is an abundant number, since it is smaller than the sum of its proper divisors (206902428786).

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

112218266016 is a wasteful number, since it uses less digits than its factorization.

112218266016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389646773 (or 389646762 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 112218266016 in words is "one hundred twelve billion, two hundred eighteen million, two hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 389646757 779293514 1168940271 1558587028 2337880542 3117174056 3506820813 4675761084 6234348112 7013641626 9351522168 12468696224 14027283252 18703044336 28054566504 37406088672 56109133008 112218266016