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31681801656 = 23327915136887
BaseRepresentation
bin11101100000011000…
…011110110110111000
310000202221220021112100
4131200120132312320
51004341020123111
622315430543400
72201050604451
oct354030366670
9100687807470
1031681801656
111248860755a
126182207b60
132cab93c2cb
141767954128
15c565d5756
hex76061edb8

31681801656 has 96 divisors (see below), whose sum is σ = 87468825600. Its totient is φ = 10357588800.

The previous prime is 31681801649. The next prime is 31681801667. The reversal of 31681801656 is 65610818613.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840445 + ... + 877331.

It is an arithmetic number, because the mean of its divisors is an integer number (911133600).

Almost surely, 231681801656 is an apocalyptic number.

31681801656 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 31681801656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43734412800).

31681801656 is an abundant number, since it is smaller than the sum of its proper divisors (55787023944).

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

31681801656 is a wasteful number, since it uses less digits than its factorization.

31681801656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37129 (or 37122 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 31681801656 in words is "thirty-one billion, six hundred eighty-one million, eight hundred one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 151 158 237 302 316 453 474 604 632 711 906 948 1208 1359 1422 1812 1896 2718 2844 3624 5436 5688 10872 11929 23858 35787 36887 47716 71574 73774 95432 107361 110661 143148 147548 214722 221322 286296 295096 331983 429444 442644 663966 858888 885288 1327932 2655864 2914073 5569937 5828146 8742219 11139874 11656292 16709811 17484438 22279748 23312584 26226657 33419622 34968876 44559496 50129433 52453314 66839244 69937752 100258866 104906628 133678488 200517732 209813256 401035464 440025023 880050046 1320075069 1760100092 2640150138 3520200184 3960225207 5280300276 7920450414 10560600552 15840900828 31681801656