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14681361601472 = 264710111482719
BaseRepresentation
bin1101010110100100010101…
…0101111101001111000000
31220222112011022222121022212
43111221011111331033000
53411014412032221342
651120305134521252
73043456553404556
oct325510525751700
956875138877285
1014681361601472
11475036a977635
12179141a366228
138265a5b3c0b7
1438a820245bd6
151a6d68a47182
hexd5a4557d3c0

14681361601472 has 56 divisors (see below), whose sum is σ = 29756189245440. Its totient is φ = 7183770658560.

The previous prime is 14681361601471. The next prime is 14681361601481. The reversal of 14681361601472 is 27410616318641.

14681361601472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14681361601472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14681361601471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30172529 + ... + 30655247.

It is an arithmetic number, because the mean of its divisors is an integer number (531360522240).

Almost surely, 214681361601472 is an apocalyptic number.

It is an amenable number.

14681361601472 is an abundant number, since it is smaller than the sum of its proper divisors (15074827643968).

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

14681361601472 is a wasteful number, since it uses less digits than its factorization.

14681361601472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492889 (or 492879 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 14681361601472 in words is "fourteen trillion, six hundred eighty-one billion, three hundred sixty-one million, six hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 10111 20222 40444 80888 161776 323552 475217 482719 647104 950434 965438 1900868 1930876 3801736 3861752 7603472 7723504 15206944 15447008 22687793 30413888 30894016 45375586 90751172 181502344 363004688 726009376 1452018752 4880771809 9761543618 19523087236 39046174472 78092348944 156184697888 229396275023 312369395776 458792550046 917585100092 1835170200184 3670340400368 7340680800736 14681361601472