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31920025536 = 2633719138889
BaseRepresentation
bin11101101110100101…
…001110111111000000
310001101120011022021000
4131232211032333000
51010333011304121
622355220532000
72210002511640
oct355645167700
9101346138230
1031920025536
11125a00276a3
126229b51000
1330190ba899
14178b446520
15c6c490526
hex76e94efc0

31920025536 has 224 divisors, whose sum is σ = 112889792000. Its totient is φ = 8639944704.

The previous prime is 31920025477. The next prime is 31920025547. The reversal of 31920025536 is 63552002913.

31920025536 is a `hidden beast` number, since 31 + 92 + 0 + 0 + 2 + 5 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31920025536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160380 + ... + 299268.

Almost surely, 231920025536 is an apocalyptic number.

31920025536 is a gapful number since it is divisible by the number (36) 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 31920025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56444896000).

31920025536 is an abundant number, since it is smaller than the sum of its proper divisors (80969766464).

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

31920025536 is a wasteful number, since it uses less digits than its factorization.

31920025536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138936 (or 138920 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 31920025536 in words is "thirty-one billion, nine hundred twenty million, twenty-five thousand, five hundred thirty-six".