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12749054134656 = 27374742951687
BaseRepresentation
bin1011100110000101111011…
…0101111100100110000000
31200010210112111120201211110
42321201132311330212000
53132340030324302111
643040500135443320
72454042306055620
oct271413665744600
950123474521743
1012749054134656
114075930767954
12151aa28526540
137162cc9646b8
143210b3b58880
151719737d15a6
hexb985ed7c980

12749054134656 has 64 divisors (see below), whose sum is σ = 38702485774080. Its totient is φ = 3642586894848.

The previous prime is 12749054134577. The next prime is 12749054134669. The reversal of 12749054134656 is 65643145094721.

12749054134656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12749054134596 and 12749054134605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2371473156 + ... + 2371478531.

It is an arithmetic number, because the mean of its divisors is an integer number (604726340220).

Almost surely, 212749054134656 is an apocalyptic number.

12749054134656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12749054134656 is an abundant number, since it is smaller than the sum of its proper divisors (25953431639424).

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

12749054134656 is an equidigital number, since it uses as much as digits as its factorization.

12749054134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742951711 (or 4742951699 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 12749054134656 in words is "twelve trillion, seven hundred forty-nine billion, fifty-four million, one hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4742951687 9485903374 14228855061 18971806748 28457710122 33200661809 37943613496 56915420244 66401323618 75887226992 99601985427 113830840488 132802647236 151774453984 199203970854 227661680976 265605294472 303548907968 398407941708 455323361952 531210588944 607097815936 796815883416 910646723904 1062421177888 1593631766832 1821293447808 2124842355776 3187263533664 4249684711552 6374527067328 12749054134656