Search a number
-
+
32564985696 = 2532707915973
BaseRepresentation
bin11110010101000001…
…100011111101100000
310010001111202200021100
4132111001203331200
51013143114020241
622543220354400
72231663545155
oct362501437540
9103044680240
1032564985696
11128a10a3821
126389b45a00
1330bc8c8909
14180cd7422c
15ca8dde9b6
hex795063f60

32564985696 has 72 divisors (see below), whose sum is σ = 92625558480. Its totient is φ = 10852782336.

The previous prime is 32564985667. The next prime is 32564985697. The reversal of 32564985696 is 69658946523.

32564985696 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 498 + 56 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32564985697) by changing a digit.

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, 2030766 + ... + 2046738.

It is an arithmetic number, because the mean of its divisors is an integer number (1286466090).

Almost surely, 232564985696 is an apocalyptic number.

32564985696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32564985696 is an abundant number, since it is smaller than the sum of its proper divisors (60060572784).

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

32564985696 is a wasteful number, since it uses less digits than its factorization.

32564985696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23068 (or 23057 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 32564985696 in words is "thirty-two billion, five hundred sixty-four million, nine hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7079 14158 15973 21237 28316 31946 42474 47919 56632 63711 63892 84948 95838 113264 127422 127784 143757 169896 191676 226528 254844 255568 287514 339792 383352 509688 511136 575028 679584 766704 1019376 1150056 1533408 2038752 2300112 4600224 113072867 226145734 339218601 452291468 678437202 904582936 1017655803 1356874404 1809165872 2035311606 2713748808 3618331744 4070623212 5427497616 8141246424 10854995232 16282492848 32564985696