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31457681892 = 22327213171931137
BaseRepresentation
bin11101010011000001…
…100010000111100100
310000012100011211000100
4131103001202013210
51003411131310032
622241303144100
72162356612200
oct352301420744
9100170154010
1031457681892
111238305000a
12611b145030
132c7438b670
141745c93b00
15c41ab497c
hex7530621e4

31457681892 has 864 divisors, whose sum is σ = 115445191680. Its totient is φ = 7106641920.

The previous prime is 31457681867. The next prime is 31457681917. The reversal of 31457681892 is 29818675413.

31457681892 is a `hidden beast` number, since 3 + 1 + 457 + 6 + 8 + 189 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (31457681867) and next prime (31457681917).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 229618048 + ... + 229618184.

It is an arithmetic number, because the mean of its divisors is an integer number (133617120).

Almost surely, 231457681892 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 31457681892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57722595840).

31457681892 is an abundant number, since it is smaller than the sum of its proper divisors (83987509788).

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

31457681892 is a wasteful number, since it uses less digits than its factorization.

31457681892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 31457681892 in words is "thirty-one billion, four hundred fifty-seven million, six hundred eighty-one thousand, eight hundred ninety-two".