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12463872048 = 2432175091451
BaseRepresentation
bin10111001101110011…
…11001100000110000
31012011121222022011200
423212321321200300
5201011222401143
65420440011200
7620603110245
oct134671714060
935147868150
1012463872048
115316592601
1224ba160b00
1312382aa624
1486348b5cc
154ce34e1d3
hex2e6e79830

12463872048 has 60 divisors (see below), whose sum is σ = 36933392808. Its totient is φ = 3910233600.

The previous prime is 12463872007. The next prime is 12463872067. The reversal of 12463872048 is 84027836421.

It is a happy number.

12463872048 is a `hidden beast` number, since 1 + 2 + 4 + 638 + 7 + 2 + 0 + 4 + 8 = 666.

12463872048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12463871994 and 12463872012.

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 11 ways as a sum of consecutive naturals, for example, 2543278 + ... + 2548173.

Almost surely, 212463872048 is an apocalyptic number.

12463872048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12463872048 is an abundant number, since it is smaller than the sum of its proper divisors (24469520760).

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

12463872048 is a wasteful number, since it uses less digits than its factorization.

12463872048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091482 (or 5091473 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12463872048 in words is "twelve billion, four hundred sixty-three million, eight hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 5091451 10182902 15274353 20365804 30548706 40731608 45823059 61097412 81463216 86554667 91646118 122194824 173109334 183292236 244389648 259664001 346218668 366584472 519328002 692437336 733168944 778992003 1038656004 1384874672 1557984006 2077312008 3115968012 4154624016 6231936024 12463872048