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12544105504 = 257208726833
BaseRepresentation
bin10111010111010111…
…11101110000100000
31012101012221120210011
423223223331300200
5201142242334004
65432423414304
7622566065110
oct135353756040
935335846704
1012544105504
115357903147
122520bb4394
13124bac0048
1486ddb5040
154d63ec004
hex2ebafdc20

12544105504 has 48 divisors (see below), whose sum is σ = 28238813568. Its totient is φ = 5373268992.

The previous prime is 12544105499. The next prime is 12544105531. The reversal of 12544105504 is 40550144521.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454072 + ... + 480904.

It is an arithmetic number, because the mean of its divisors is an integer number (588308616).

Almost surely, 212544105504 is an apocalyptic number.

12544105504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12544105504 is an abundant number, since it is smaller than the sum of its proper divisors (15694708064).

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

12544105504 is a wasteful number, since it uses less digits than its factorization.

12544105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28937 (or 28929 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 12544105504 in words is "twelve billion, five hundred forty-four million, one hundred five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2087 4174 8348 14609 16696 26833 29218 33392 53666 58436 66784 107332 116872 187831 214664 233744 375662 429328 467488 751324 858656 1502648 3005296 6010592 56000471 112000942 224001884 392003297 448003768 784006594 896007536 1568013188 1792015072 3136026376 6272052752 12544105504