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13145074104256 = 263729917185551
BaseRepresentation
bin1011111101001001001101…
…1110001111011111000000
31201112122201211000121111221
42333102103132033133000
53210332102432314011
643542432542044424
72524462122214513
oct277222336173700
951478654017457
1013145074104256
114208881705526
12158372a879714
13744762853963
143363214c4d7a
1517be00a9b971
hexbf49378f7c0

13145074104256 has 56 divisors (see below), whose sum is σ = 26790789695936. Its totient is φ = 6394652697600.

The previous prime is 13145074104233. The next prime is 13145074104277. The reversal of 13145074104256 is 65240147054131.

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, 70750681 + ... + 70936231.

It is an arithmetic number, because the mean of its divisors is an integer number (478406958856).

Almost surely, 213145074104256 is an apocalyptic number.

13145074104256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13145074104256 is an abundant number, since it is smaller than the sum of its proper divisors (13645715591680).

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

13145074104256 is a wasteful number, since it uses less digits than its factorization.

13145074104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215517 (or 215507 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 13145074104256 in words is "thirteen trillion, one hundred forty-five billion, seventy-four million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 29917 59834 119668 185551 239336 371102 478672 742204 957344 1106929 1484408 1914688 2213858 2968816 4427716 5937632 6865387 8855432 11875264 13730774 17710864 27461548 35421728 54923096 70843456 109846192 219692384 439384768 5551129267 11102258534 22204517068 44409034136 88818068272 177636136544 205391782879 355272273088 410783565758 821567131516 1643134263032 3286268526064 6572537052128 13145074104256