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51304011040315 = 51119859108752579
BaseRepresentation
bin10111010101001001001010…
…10110101000011000111011
320201122121121201222200021201
423222210211112220120323
523211031103311242230
6301040423131315031
713543410135400555
oct1352444526503073
9221577551880251
1051304011040315
111538a9aa815230
1259070895aba77
132281c41806047
14c951ad77c4d5
155de805c8b5ca
hex2ea9255a863b

51304011040315 has 64 divisors (see below), whose sum is σ = 70845198336000. Its totient is φ = 35273915614080.

The previous prime is 51304011040301. The next prime is 51304011040349.

51304011040315 is nontrivially palindromic in base 10.

51304011040315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51304011040315 - 29 = 51304011039803 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 975724696 + ... + 975777274.

It is an arithmetic number, because the mean of its divisors is an integer number (1106956224000).

Almost surely, 251304011040315 is an apocalyptic number.

51304011040315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51304011040315 is a deficient number, since it is larger than the sum of its proper divisors (19541187295685).

51304011040315 is a wasteful number, since it uses less digits than its factorization.

51304011040315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54560.

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 5130401 and 1040315, that added together give a palindrome (6170716).

The spelling of 51304011040315 in words is "fifty-one trillion, three hundred four billion, eleven million, forty thousand, three hundred fifteen".

Divisors: 1 5 11 19 55 95 209 859 1045 1087 4295 5435 9449 11957 16321 20653 47245 52579 59785 81605 103265 179531 227183 262895 578369 897655 933733 999001 1135915 2891845 4668665 4995005 10271063 10989011 17740927 45165361 51355315 54945055 57153373 88704635 195150197 225826805 285766865 496818971 628687103 858141859 975750985 1085914087 2484094855 3143435515 4290709295 5429570435 9439560449 11945054957 47197802245 49094747407 59725274785 245473737035 540042221477 932800200733 2700211107385 4664001003665 10260802208063 51304011040315