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31585190016 = 273541152039
BaseRepresentation
bin11101011010100111…
…111100000010000000
310000112020002220021110
4131122213330002000
51004141302040031
622302100123320
72165465454042
oct353247740200
9100466086243
1031585190016
111243901a826
126155996540
132c94913b63
141758ba5a92
15c4cd9ec46
hex75a9fc080

31585190016 has 64 divisors (see below), whose sum is σ = 84053793600. Its totient is φ = 10508866560.

The previous prime is 31585189991. The next prime is 31585190023. The reversal of 31585190016 is 61009158513.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131725 + ... + 283763.

It is an arithmetic number, because the mean of its divisors is an integer number (1313340525).

Almost surely, 231585190016 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 31585190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42026896800).

31585190016 is an abundant number, since it is smaller than the sum of its proper divisors (52468603584).

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

31585190016 is a wasteful number, since it uses less digits than its factorization.

31585190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152597 (or 152585 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 31585190016 in words is "thirty-one billion, five hundred eighty-five million, one hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 541 1082 1623 2164 3246 4328 6492 8656 12984 17312 25968 34624 51936 69248 103872 152039 207744 304078 456117 608156 912234 1216312 1824468 2432624 3648936 4865248 7297872 9730496 14595744 19460992 29191488 58382976 82253099 164506198 246759297 329012396 493518594 658024792 987037188 1316049584 1974074376 2632099168 3948148752 5264198336 7896297504 10528396672 15792595008 31585190016