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54221610431241 = 32114113358366699
BaseRepresentation
bin11000101010000011100111…
…10101000011001100001001
321002222112110020222022011200
430111001303311003030021
524101331324232244431
6311153021452014413
714264245024132041
oct1425016365031411
9232875406868150
1054221610431241
111630528a596790
1260b8617761409
1324340caa611a6
14d564a8b5c721
156406663b9ee6
hex315073d43309

54221610431241 has 24 divisors (see below), whose sum is σ = 87524018618400. Its totient is φ = 32060080075200.

The previous prime is 54221610431227. The next prime is 54221610431249. The reversal of 54221610431241 is 14213401612245.

54221610431241 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 1 + 610 + 4 + 31 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 54221610431241 - 27 = 54221610431113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54221610431196 and 54221610431205.

It is not an unprimeable number, because it can be changed into a prime (54221610431249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6679179291 + ... + 6679187408.

It is an arithmetic number, because the mean of its divisors is an integer number (3646834109100).

Almost surely, 254221610431241 is an apocalyptic number.

It is an amenable number.

54221610431241 is a deficient number, since it is larger than the sum of its proper divisors (33302408187159).

54221610431241 is a wasteful number, since it uses less digits than its factorization.

54221610431241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13358366757 (or 13358366754 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54221610431241 in words is "fifty-four trillion, two hundred twenty-one billion, six hundred ten million, four hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 13358366699 40075100097 120225300291 146942033689 440826101067 547693034659 1322478303201 1643079103977 4929237311931 6024623381249 18073870143747 54221610431241