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12404968164 = 2232344582449
BaseRepresentation
bin10111000110110010…
…01100101011100100
31012000112010200020100
423203121030223210
5200401132440124
65410533304100
7616256326641
oct134331145344
935015120210
1012404968164
115296310206
1224a2495030
131229025564
14859716dc8
154c90b61c9
hex2e364cae4

12404968164 has 18 divisors (see below), whose sum is σ = 31357002950. Its totient is φ = 4134989376.

The previous prime is 12404968151. The next prime is 12404968201. The reversal of 12404968164 is 46186940421.

12404968164 is a `hidden beast` number, since 1 + 24 + 0 + 496 + 81 + 64 = 666.

12404968164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12378342564 + 26625600 = 111258^2 + 5160^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 5 ways as a sum of consecutive naturals, for example, 172291189 + ... + 172291260.

Almost surely, 212404968164 is an apocalyptic number.

It is an amenable number.

12404968164 is an abundant number, since it is smaller than the sum of its proper divisors (18952034786).

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

12404968164 is a wasteful number, since it uses less digits than its factorization.

12404968164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344582459 (or 344582454 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12404968164 in words is "twelve billion, four hundred four million, nine hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 344582449 689164898 1033747347 1378329796 2067494694 3101242041 4134989388 6202484082 12404968164