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31113739008 = 28331129103137
BaseRepresentation
bin11100111110100001…
…011111101100000000
32222022100222201002000
4130332201133230000
51002210104122013
622143215224000
72151012263232
oct347641375400
988270881060
1031113739008
11122169926a0
126043b18000
132c1b046471
141712322252
15c217c5973
hex73e85fb00

31113739008 has 576 divisors, whose sum is σ = 105607756800. Its totient is φ = 8949104640.

The previous prime is 31113738991. The next prime is 31113739043. The reversal of 31113739008 is 80093731113.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 227107516 + ... + 227107652.

It is an arithmetic number, because the mean of its divisors is an integer number (183346800).

Almost surely, 231113739008 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 31113739008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52803878400).

31113739008 is an abundant number, since it is smaller than the sum of its proper divisors (74494017792).

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

31113739008 is a wasteful number, since it uses less digits than its factorization.

31113739008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 31113739008 in words is "thirty-one billion, one hundred thirteen million, seven hundred thirty-nine thousand, eight".