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56314634405454 = 23317591039744367
BaseRepresentation
bin11001100110111110001011…
…10001111000011001001110
321101101121220200211200001000
430303133011301320121032
524340124332401433304
6315434330315401130
714601412065310035
oct1463370561703116
9241347820750030
1056314634405454
1116a419a20031a7
1263961a11531a6
1325565a7774389
14dc98ddd9371c
15679d15e51939
hex3337c5c7864e

56314634405454 has 64 divisors (see below), whose sum is σ = 134750870092800. Its totient is φ = 17367889889664.

The previous prime is 56314634405423. The next prime is 56314634405479. The reversal of 56314634405454 is 45450443641365.

56314634405454 is a `hidden beast` number, since 5 + 6 + 3 + 146 + 3 + 4 + 40 + 5 + 454 = 666.

It is a super-2 number, since 2×563146344054542 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56314634405454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519818022 + ... + 519926345.

It is an arithmetic number, because the mean of its divisors is an integer number (2105482345200).

Almost surely, 256314634405454 is an apocalyptic number.

56314634405454 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

56314634405454 is an abundant number, since it is smaller than the sum of its proper divisors (78436235687346).

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

56314634405454 is a wasteful number, since it uses less digits than its factorization.

56314634405454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039744454 (or 1039744448 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 56314634405454 in words is "fifty-six trillion, three hundred fourteen billion, six hundred thirty-four million, four hundred five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 306 354 459 531 918 1003 1062 1593 2006 3009 3186 6018 9027 18054 27081 54162 1039744367 2079488734 3119233101 6238466202 9357699303 17675654239 18715398606 28073097909 35351308478 53026962717 56146195818 61344917653 106053925434 122689835306 159080888151 184034752959 318161776302 368069505918 477242664453 552104258877 954485328906 1042863600101 1104208517754 1656312776631 2085727200202 3128590800303 3312625553262 6257181600606 9385772400909 18771544801818 28157317202727 56314634405454