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31678693920 = 25335191073607
BaseRepresentation
bin11101100000001100…
…101000001000100000
310000202202001101112000
4131200030220020200
51004334221201140
622315240204000
72201012312136
oct354014501040
9100682041460
1031678693920
1112486884685
126181169600
132cab0c1903
141767385756
15c561bea30
hex760328220

31678693920 has 384 divisors, whose sum is σ = 117834393600. Its totient is φ = 7926045696.

The previous prime is 31678693897. The next prime is 31678693933. The reversal of 31678693920 is 2939687613.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8780757 + ... + 8784363.

It is an arithmetic number, because the mean of its divisors is an integer number (306860400).

Almost surely, 231678693920 is an apocalyptic number.

31678693920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31678693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58917196800).

31678693920 is an abundant number, since it is smaller than the sum of its proper divisors (86155699680).

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

31678693920 is a wasteful number, since it uses less digits than its factorization.

31678693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 31678693920 in words is "thirty-one billion, six hundred seventy-eight million, six hundred ninety-three thousand, nine hundred twenty".