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31928145696 = 2532671654651
BaseRepresentation
bin11101101111000100…
…001101011100100000
310001102010102212000200
4131233010031130200
51010342101130241
622400110545200
72210131521606
oct355704153440
9101363385020
1031928145696
11125a4673477
126230808200
13301a9a1905
14178c55b876
15c6d0464b6
hex76f10d720

31928145696 has 72 divisors (see below), whose sum is σ = 92150879184. Its totient is φ = 10483862400.

The previous prime is 31928145653. The next prime is 31928145793. The reversal of 31928145696 is 69654182913.

31928145696 is a `hidden beast` number, since 319 + 281 + 45 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808030 + ... + 846621.

It is an arithmetic number, because the mean of its divisors is an integer number (1279873322).

Almost surely, 231928145696 is an apocalyptic number.

31928145696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31928145696 is an abundant number, since it is smaller than the sum of its proper divisors (60222733488).

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

31928145696 is a wasteful number, since it uses less digits than its factorization.

31928145696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654734 (or 1654723 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 31928145696 in words is "thirty-one billion, nine hundred twenty-eight million, one hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 1654651 3309302 4963953 6618604 9927906 13237208 14891859 19855812 26474416 29783718 39711624 52948832 59567436 79423248 110861617 119134872 158846496 221723234 238269744 332584851 443446468 476539488 665169702 886892936 997754553 1330339404 1773785872 1995509106 2660678808 3547571744 3991018212 5321357616 7982036424 10642715232 15964072848 31928145696