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31079524816 = 2419899471213
BaseRepresentation
bin11100111100011110…
…111110100111010000
32222012222121110000201
4130330132332213100
51002122324243231
622135554024544
72150115413344
oct347436764720
988188543021
1031079524816
11121a9643aaa
126034578154
132c13c27292
14170b977624
15c1d7b8161
hex73c7be9d0

31079524816 has 80 divisors (see below), whose sum is σ = 64218657600. Its totient is φ = 14529106944.

The previous prime is 31079524807. The next prime is 31079524871. The reversal of 31079524816 is 61842597013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25621426 + ... + 25622638.

It is an arithmetic number, because the mean of its divisors is an integer number (802733220).

It is a 1-persistent number, because it is pandigital, but 2⋅31079524816 = 62159049632 is not.

Almost surely, 231079524816 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 31079524816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32109328800).

31079524816 is an abundant number, since it is smaller than the sum of its proper divisors (33139132784).

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

31079524816 is a wasteful number, since it uses less digits than its factorization.

31079524816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 31079524816 in words is "thirty-one billion, seventy-nine million, five hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 89 152 178 304 356 712 947 1213 1424 1691 1894 2426 3382 3788 4852 6764 7576 9704 13528 15152 17993 19408 23047 27056 35986 46094 71972 84283 92188 107957 143944 168566 184376 215914 287888 337132 368752 431828 674264 863656 1148711 1348528 1601377 1727312 2051183 2297422 3202754 4102366 4594844 6405508 8204732 9189688 12811016 16409464 18379376 21825509 25622032 32818928 43651018 87302036 102235279 174604072 204470558 349208144 408941116 817882232 1635764464 1942470301 3884940602 7769881204 15539762408 31079524816