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51055051520016 = 24321471724091117
BaseRepresentation
bin10111001101111001011100…
…01101011011100000010000
320200202211000022201122222200
423212330232031123200100
523142441221142120031
6300330211125003200
713516414525365405
oct1346745615334020
9220684008648880
1051055051520016
11152a4364642865
125886989553500
13226461718831b
14c871132142ac
155d80d449c8e6
hex2e6f2e35b810

51055051520016 has 60 divisors (see below), whose sum is σ = 142892949113772. Its totient is φ = 17017193426688.

The previous prime is 51055051520009. The next prime is 51055051520051. The reversal of 51055051520016 is 61002515055015.

51055051520016 is a `hidden beast` number, since 5 + 1 + 0 + 550 + 51 + 52 + 0 + 0 + 1 + 6 = 666.

51055051520016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33521737721616 + 17533313798400 = 5789796^2 + 4187280^2 .

It is a super-2 number, since 2×510550515200162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9926311 + ... + 14164806.

Almost surely, 251055051520016 is an apocalyptic number.

It is an amenable number.

51055051520016 is an abundant number, since it is smaller than the sum of its proper divisors (91837897593756).

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

51055051520016 is a wasteful number, since it uses less digits than its factorization.

51055051520016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24105848 (or 24105839 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 51055051520016 in words is "fifty-one trillion, fifty-five billion, fifty-one million, five hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14717 29434 44151 58868 88302 117736 132453 176604 235472 264906 353208 529812 706416 1059624 2119248 24091117 48182234 72273351 96364468 144546702 192728936 216820053 289093404 385457872 433640106 578186808 867280212 1156373616 1734560424 3469120848 354548968889 709097937778 1063646906667 1418195875556 2127293813334 2836391751112 3190940720001 4254587626668 5672783502224 6381881440002 8509175253336 12763762880004 17018350506672 25527525760008 51055051520016