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50400131625 = 32531713918959
BaseRepresentation
bin101110111100000101…
…001111101000101001
311211002110201222000200
4232330011033220221
51311204413203000
635053053422413
73432651023154
oct567405175051
9154073658020
1050400131625
111a413618948
129926a9aa09
1349a29291bc
14262192ac9b
15149ea82500
hexbbc14fa29

50400131625 has 96 divisors (see below), whose sum is σ = 96896217600. Its totient is φ = 25115558400.

The previous prime is 50400131567. The next prime is 50400131651. The reversal of 50400131625 is 52613100405.

50400131625 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 0 + 1 + 31 + 625 = 666.

It is not a de Polignac number, because 50400131625 - 210 = 50400130601 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 95 ways as a sum of consecutive naturals, for example, 2648896 + ... + 2667854.

It is an arithmetic number, because the mean of its divisors is an integer number (1009335600).

Almost surely, 250400131625 is an apocalyptic number.

It is an amenable number.

50400131625 is a deficient number, since it is larger than the sum of its proper divisors (46496085975).

50400131625 is a wasteful number, since it uses less digits than its factorization.

50400131625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19136 (or 19123 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 50400131625 in words is "fifty billion, four hundred million, one hundred thirty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 139 153 225 255 375 417 425 695 765 1125 1251 1275 2085 2125 2363 3475 3825 6255 6375 7089 10425 11815 17375 18959 19125 21267 31275 35445 52125 56877 59075 94795 106335 156375 170631 177225 284385 295375 322303 473975 531675 853155 886125 966909 1421925 1611515 2369875 2635301 2658375 2900727 4265775 4834545 7109625 7905903 8057575 13176505 14503635 21328875 23717709 24172725 39529515 40287875 44800117 65882525 72518175 118588545 120863625 134400351 197647575 224000585 329412625 362590875 403201053 592942725 672001755 988237875 1120002925 2016005265 2964713625 3360008775 5600014625 10080026325 16800043875 50400131625