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12724799304 = 2337349921647
BaseRepresentation
bin10111101100111010…
…10000011101001000
31012211210221210002010
423312131100131020
5202030022034204
65502400335520
7630222003150
oct136635203510
935753853063
1012724799304
11543a8aa068
1225716145a0
13127a377959
14889dad760
154e71e0d89
hex2f6750748

12724799304 has 64 divisors (see below), whose sum is σ = 36368640000. Its totient is φ = 3634449984.

The previous prime is 12724799303. The next prime is 12724799359. The reversal of 12724799304 is 40399742721.

It is a happy number.

12724799304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12724799303) 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 15 ways as a sum of consecutive naturals, for example, 577009 + ... + 598655.

It is an arithmetic number, because the mean of its divisors is an integer number (568260000).

Almost surely, 212724799304 is an apocalyptic number.

12724799304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12724799304 is an abundant number, since it is smaller than the sum of its proper divisors (23643840696).

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

12724799304 is a wasteful number, since it uses less digits than its factorization.

12724799304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25162 (or 25158 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 12724799304 in words is "twelve billion, seven hundred twenty-four million, seven hundred ninety-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3499 6998 10497 13996 20994 21647 24493 27992 41988 43294 48986 64941 73479 83976 86588 97972 129882 146958 151529 173176 195944 259764 293916 303058 454587 519528 587832 606116 909174 1212232 1818348 3636696 75742853 151485706 227228559 302971412 454457118 530199971 605942824 908914236 1060399942 1590599913 1817828472 2120799884 3181199826 4241599768 6362399652 12724799304