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47215794390625 = 567278532
BaseRepresentation
bin10101011110001010010001…
…01001110000011001100001
320012011210012220002211221201
422233011020221300121201
522142040421331000000
6244230345252321201
712642141254262100
oct1257051051603141
9205153186084851
1047215794390625
1114054119025003
1253668a2013201
1320465794c8c13
14b93384322037
1556d2d02be96a
hex2af148a70661

47215794390625 has 63 divisors (see below), whose sum is σ = 68663484201621. Its totient is φ = 32372421900000.

The previous prime is 47215794390593. The next prime is 47215794390631. The reversal of 47215794390625 is 52609349751274.

The square root of 47215794390625 is 6871375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 10990226152801 + 36225568237824 = 3315151^2 + 6018768^2 .

It is not a de Polignac number, because 47215794390625 - 25 = 47215794390593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6012449199 + ... + 6012457051.

Almost surely, 247215794390625 is an apocalyptic number.

47215794390625 is the 6871375-th square number.

47215794390625 is the 3435688-th centered octagonal number.

It is an amenable number.

47215794390625 is a deficient number, since it is larger than the sum of its proper divisors (21447689810996).

47215794390625 is an frugal number, since it uses more digits than its factorization.

47215794390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15750 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 64.

The spelling of 47215794390625 in words is "forty-seven trillion, two hundred fifteen billion, seven hundred ninety-four million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 3125 4375 6125 7853 15625 21875 30625 39265 54971 109375 153125 196325 274855 384797 765625 981625 1374275 1923985 4908125 6871375 9619925 24540625 34356875 48099625 61669609 122703125 171784375 240498125 308348045 431687263 858921875 1202490625 1541740225 2158436315 3021810841 6012453125 7708701125 10792181575 15109054205 38543505625 53960907875 75545271025 192717528125 269804539375 377726355125 963587640625 1349022696875 1888631775625 6745113484375 9443158878125 47215794390625