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51012015075 = 32527591374007
BaseRepresentation
bin101111100000100011…
…011001001111100011
311212200010002212022200
4233200203121033203
51313433033440300
635233512304243
73454060655010
oct574043311743
9155603085280
1051012015075
111a6a7a52a4a
129a779a2083
134a6c625a08
14267ccc8707
1514d864b200
hexbe08d93e3

51012015075 has 144 divisors (see below), whose sum is σ = 106992437760. Its totient is φ = 22751516160.

The previous prime is 51012015037. The next prime is 51012015091. The reversal of 51012015075 is 57051021015.

It is not a de Polignac number, because 51012015075 - 210 = 51012014051 is a prime.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 12728722 + ... + 12732728.

It is an arithmetic number, because the mean of its divisors is an integer number (743003040).

Almost surely, 251012015075 is an apocalyptic number.

51012015075 is an abundant number, since it is smaller than the sum of its proper divisors (55980422685).

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

51012015075 is a wasteful number, since it uses less digits than its factorization.

51012015075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 51012015075 in words is "fifty-one billion, twelve million, fifteen thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 59 63 75 105 137 175 177 225 295 315 411 413 525 531 685 885 959 1233 1239 1475 1575 2055 2065 2655 2877 3425 3717 4007 4425 4795 6165 6195 8083 8631 10275 10325 12021 13275 14385 18585 20035 23975 24249 28049 30825 30975 36063 40415 43155 56581 60105 71925 72747 84147 92925 100175 121245 140245 169743 180315 202075 215775 236413 252441 282905 300525 363735 420735 509229 548959 606225 701225 709239 848715 901575 1182065 1262205 1414525 1646877 1654891 1818675 2103675 2127717 2546145 2744795 3546195 3842713 4243575 4940631 4964673 5910325 6311025 8234385 8274455 10638585 11528139 12730725 13723975 14894019 17730975 19213565 24703155 24823365 32388581 34584417 41171925 41372275 53192925 57640695 74470095 96067825 97165743 123515775 124116825 161942905 172922085 226720067 288203475 291497229 372350475 485828715 680160201 809714525 864610425 1133600335 1457486145 2040480603 2429143575 3400801005 5668001675 7287430725 10202403015 17004005025 51012015075