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56407027331475 = 3452139571735053
BaseRepresentation
bin11001101001101010010001…
…10100111011000110010011
321101201110101201102121120000
430310311020310323012103
524343133042444101400
6315545010340421043
714611162502235222
oct1464651064730623
9241643351377500
1056407027331475
1116a780a4444aa7
1263b00873a7783
1325622102764c2
14dd01869cccb9
1567c422408600
hex334d48d3b193

56407027331475 has 120 divisors (see below), whose sum is σ = 105258416728080. Its totient is φ = 29861241857280.

The previous prime is 56407027331443. The next prime is 56407027331497. The reversal of 56407027331475 is 57413372070465.

56407027331475 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 70 + 2 + 73 + 31 + 475 = 666.

56407027331475 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 56407027331475 - 25 = 56407027331443 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 119 ways as a sum of consecutive naturals, for example, 1609175049 + ... + 1609210101.

It is an arithmetic number, because the mean of its divisors is an integer number (877153472734).

Almost surely, 256407027331475 is an apocalyptic number.

56407027331475 is a deficient number, since it is larger than the sum of its proper divisors (48851389396605).

56407027331475 is a wasteful number, since it uses less digits than its factorization.

56407027331475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40931 (or 40917 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 56407027331475 in words is "fifty-six trillion, four hundred seven billion, twenty-seven million, three hundred thirty-one thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 139 225 405 417 675 695 1251 2025 2085 3475 3753 5717 6255 10425 11259 17151 18765 28585 31275 35053 51453 56295 85755 93825 105159 142925 154359 175265 257265 281475 315477 428775 463077 525795 771795 794663 876325 946431 1286325 1577385 2315385 2383989 2628975 2839293 3858975 3973315 4732155 4872367 7151967 7886925 11576925 11919945 14196465 14617101 19866575 21455901 23660775 24361835 35759835 43851303 59599725 64367703 70982325 73085505 107279505 121809175 131553909 178799175 200398001 219256515 321838515 365427525 394661727 536397525 601194003 657769545 1001990005 1096282575 1609192575 1803582009 1973308635 3005970015 3288847725 5009950025 5410746027 9017910045 9866543175 15029850075 16232238081 27053730135 27855322139 45089550225 81161190405 83565966417 135268650675 139276610695 250697899251 405805952025 417829832085 696383053475 752093697753 1253489496255 2089149160425 2256281093259 3760468488765 6267447481275 11281405466295 18802342443825 56407027331475