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31296653964 = 2234503192037
BaseRepresentation
bin11101001001011011…
…010000101010001100
32222210010011202020000
4131021123100222030
51003043420411324
622213311524300
72155363112052
oct351133205214
988703152200
1031296653964
1112300166384
126095229690
132c49bcb074
14172c7381d2
15c328a79c9
hex7496d0a8c

31296653964 has 60 divisors (see below), whose sum is σ = 81978717744. Its totient is φ = 10411423776.

The previous prime is 31296653917. The next prime is 31296653987. The reversal of 31296653964 is 46935669213.

31296653964 is a `hidden beast` number, since 3 + 12 + 96 + 6 + 539 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 31296653964.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66954 + ... + 258990.

Almost surely, 231296653964 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 31296653964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40989358872).

31296653964 is an abundant number, since it is smaller than the sum of its proper divisors (50682063780).

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

31296653964 is a wasteful number, since it uses less digits than its factorization.

31296653964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192556 (or 192545 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 31296653964 in words is "thirty-one billion, two hundred ninety-six million, six hundred fifty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 503 1006 1509 2012 3018 4527 6036 9054 13581 18108 27162 40743 54324 81486 162972 192037 384074 576111 768148 1152222 1728333 2304444 3456666 5184999 6913332 10369998 15554997 20739996 31109994 62219988 96594611 193189222 289783833 386378444 579567666 869351499 1159135332 1738702998 2608054497 3477405996 5216108994 7824163491 10432217988 15648326982 31296653964