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31679880375 = 353111317193159
BaseRepresentation
bin11101100000010001…
…001001110010110111
310000202211021200000210
4131200101021302313
51004340022133000
622315321440503
72201025353163
oct354021116267
9100684250023
1031679880375
1112487515020
126181640133
132cab418960
1417675b3ca3
15c56356350
hex760449cb7

31679880375 has 512 divisors, whose sum is σ = 72459878400. Its totient is φ = 12026880000.

The previous prime is 31679880319. The next prime is 31679880377. The reversal of 31679880375 is 57308897613.

It is not a de Polignac number, because 31679880375 - 26 = 31679880311 is a prime.

It is a super-2 number, since 2×316798803752 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31679880377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 536947096 + ... + 536947154.

It is an arithmetic number, because the mean of its divisors is an integer number (141523200).

Almost surely, 231679880375 is an apocalyptic number.

31679880375 is an abundant number, since it is smaller than the sum of its proper divisors (40779998025).

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

31679880375 is a wasteful number, since it uses less digits than its factorization.

31679880375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 31679880375 in words is "thirty-one billion, six hundred seventy-nine million, eight hundred eighty thousand, three hundred seventy-five".