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31608196920 = 2333589499659
BaseRepresentation
bin11101011011111111…
…101100111100111000
310000120211101202211000
4131123333230330320
51004213144300140
622304241205000
72166165145416
oct353377547470
9100524352730
1031608196920
11124500041a3
126161630760
132c9960ab01
14175bc742b6
15c4ede6a30
hex75bfecf38

31608196920 has 256 divisors, whose sum is σ = 106920000000. Its totient is φ = 8304823296.

The previous prime is 31608196903. The next prime is 31608196931. The reversal of 31608196920 is 2969180613.

It is a happy number.

31608196920 is a `hidden beast` number, since 3 + 1 + 608 + 19 + 6 + 9 + 20 = 666.

It is a super-2 number, since 2×316081969202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47963551 + ... + 47964209.

It is an arithmetic number, because the mean of its divisors is an integer number (417656250).

Almost surely, 231608196920 is an apocalyptic number.

31608196920 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 31608196920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53460000000).

31608196920 is an abundant number, since it is smaller than the sum of its proper divisors (75311803080).

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

31608196920 is a wasteful number, since it uses less digits than its factorization.

31608196920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 31608196920 in words is "thirty-one billion, six hundred eight million, one hundred ninety-six thousand, nine hundred twenty".