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14863511056 = 2429210512
BaseRepresentation
bin11011101011110111…
…10010111000010000
31102100212022121001111
431311323302320100
5220420024323211
610454520343104
71034221521322
oct156573627020
942325277044
1014863511056
116338078939
122a69914a94
13152b49ab74
14a10055612
155bed53421
hex375ef2e10

14863511056 has 45 divisors (see below), whose sum is σ = 29853736653. Its totient is φ = 7168660800.

The previous prime is 14863511051. The next prime is 14863511059. The reversal of 14863511056 is 65011536841.

The square root of 14863511056 is 121916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7794064656 + 7069446400 = 88284^2 + 84080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14863511051) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 14141731 + ... + 14142781.

Almost surely, 214863511056 is an apocalyptic number.

14863511056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14863511056 is the 121916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14863511056

14863511056 is an abundant number, since it is smaller than the sum of its proper divisors (14990225597).

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

14863511056 is an frugal number, since it uses more digits than its factorization.

14863511056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 14863511056 in words is "fourteen billion, eight hundred sixty-three million, five hundred eleven thousand, fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1051 1682 2102 3364 4204 6728 8408 13456 16816 30479 60958 121916 243832 487664 883891 1104601 1767782 2209202 3535564 4418404 7071128 8836808 14142256 17673616 32033429 64066858 128133716 256267432 512534864 928969441 1857938882 3715877764 7431755528 14863511056