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12724736868 = 2232353464913
BaseRepresentation
bin10111101100111010…
…00001001101100100
31012211210211121102200
423312131001031210
5202030013034433
65502355134500
7630221323134
oct136635011544
935753747380
1012724736868
11543a867168
1225715a4430
13127a3553cc
14889d94ac4
154e71cc613
hex2f6741364

12724736868 has 18 divisors (see below), whose sum is σ = 32165307174. Its totient is φ = 4241578944.

The previous prime is 12724736837. The next prime is 12724736923. The reversal of 12724736868 is 86863742721.

12724736868 is a `hidden beast` number, since 1 + 272 + 4 + 7 + 368 + 6 + 8 = 666.

12724736868 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., 12363660864 + 361076004 = 111192^2 + 19002^2 .

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, 176732421 + ... + 176732492.

Almost surely, 212724736868 is an apocalyptic number.

12724736868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12724736868 is an abundant number, since it is smaller than the sum of its proper divisors (19440570306).

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

12724736868 is a wasteful number, since it uses less digits than its factorization.

12724736868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353464923 (or 353464918 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 12724736868 in words is "twelve billion, seven hundred twenty-four million, seven hundred thirty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 353464913 706929826 1060394739 1413859652 2120789478 3181184217 4241578956 6362368434 12724736868