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31730123664 = 2432220348081
BaseRepresentation
bin11101100011010000…
…110100001110010000
310000220022211021212100
4131203100310032100
51004440402424124
622324314400400
72202205413111
oct354320641620
9100808737770
1031730123664
11125029115a8
126196430100
132cb895aa05
141770132208
15c5a97d1c9
hex763434390

31730123664 has 30 divisors (see below), whose sum is σ = 88800277046. Its totient is φ = 10576707840.

The previous prime is 31730123653. The next prime is 31730123699. The reversal of 31730123664 is 46632103713.

31730123664 is a `hidden beast` number, since 317 + 301 + 2 + 36 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20104971264 + 11625152400 = 141792^2 + 107820^2 .

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, 110173897 + ... + 110174184.

Almost surely, 231730123664 is an apocalyptic number.

It is an amenable number.

31730123664 is an abundant number, since it is smaller than the sum of its proper divisors (57070153382).

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

31730123664 is a wasteful number, since it uses less digits than its factorization.

31730123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220348095 (or 220348086 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 31730123664 in words is "thirty-one billion, seven hundred thirty million, one hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 220348081 440696162 661044243 881392324 1322088486 1762784648 1983132729 2644176972 3525569296 3966265458 5288353944 7932530916 10576707888 15865061832 31730123664