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12590137056 = 253721188793
BaseRepresentation
bin10111011100110111…
…00011111011100000
31012111102120020012110
423232123203323200
5201241033341211
65441150155320
7623665253640
oct135633437340
935442506173
1012590137056
115380893352
1225344b2b40
1312584b9053
14876158520
154da490ea6
hex2ee6e3ee0

12590137056 has 96 divisors (see below), whose sum is σ = 37949845248. Its totient is φ = 3580093440.

The previous prime is 12590137039. The next prime is 12590137081. The reversal of 12590137056 is 65073109521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97396 + ... + 186188.

It is an arithmetic number, because the mean of its divisors is an integer number (395310888).

Almost surely, 212590137056 is an apocalyptic number.

12590137056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12590137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974922624).

12590137056 is an abundant number, since it is smaller than the sum of its proper divisors (25359708192).

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

12590137056 is a wasteful number, since it uses less digits than its factorization.

12590137056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89024 (or 89016 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 12590137056 in words is "twelve billion, five hundred ninety million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 422 633 672 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 17724 20256 23632 35448 47264 70896 88793 141792 177586 266379 355172 532758 621551 710344 1065516 1243102 1420688 1864653 2131032 2486204 2841376 3729306 4262064 4972408 7458612 8524128 9944816 14917224 18735323 19889632 29834448 37470646 56205969 59668896 74941292 112411938 131147261 149882584 224823876 262294522 299765168 393441783 449647752 524589044 599530336 786883566 899295504 1049178088 1573767132 1798591008 2098356176 3147534264 4196712352 6295068528 12590137056