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50629984475625 = 3254948732
BaseRepresentation
bin10111000001100001101100…
…01111010101100111101001
320122021011211200002111120100
423200300312033111213221
523114010202011210000
6255403032131020013
713443616133206332
oct1340606617254751
9218234750074510
1050629984475625
1115150068351a55
12581851b43a609
13223350546b349
14c7070bc15289
155cc00708ba00
hex2e0c363d59e9

50629984475625 has 45 divisors (see below), whose sum is σ = 91386960123459. Its totient is φ = 27002373768000.

The previous prime is 50629984475611. The next prime is 50629984475639. The reversal of 50629984475625 is 52657448992605.

The square root of 50629984475625 is 7115475.

It is a perfect power (a square), and thus also a powerful number.

50629984475625 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 9 + 98 + 4 + 475 + 62 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (50629984475611) and next prime (50629984475639).

It can be written as a sum of positive squares in 7 ways, for example, as 4515671750121 + 46114312725504 = 2125011^2 + 6790752^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 50629984475625 - 215 = 50629984442857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 533613189 + ... + 533708061.

Almost surely, 250629984475625 is an apocalyptic number.

50629984475625 is the 7115475-th square number.

50629984475625 is the 3557738-th centered octagonal number.

It is an amenable number.

50629984475625 is a deficient number, since it is larger than the sum of its proper divisors (40756975647834).

50629984475625 is an frugal number, since it uses more digits than its factorization.

50629984475625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189772 (or 94881 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 50629984475625 in words is "fifty trillion, six hundred twenty-nine billion, nine hundred eighty-four million, four hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 94873 284619 474365 853857 1423095 2371825 4269285 7115475 11859125 21346425 35577375 59295625 106732125 177886875 533660625 9000886129 27002658387 45004430645 81007975161 135013291935 225022153225 405039875805 675066459675 1125110766125 2025199379025 3375332298375 5625553830625 10125996895125 16876661491875 50629984475625