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54057335464161 = 3250911800335181
BaseRepresentation
bin11000100101010001101000…
…10001110010000011100001
321002101211102122122022210200
430102220310101302003201
524041133410334323121
6310545332545215413
714246341111013001
oct1422506421620341
9232354378568720
1054057335464161
1116251650663587
126090810331569
13242177ac2b263
14d4c56359a001
1563b24e490a26
hex312a344720e1

54057335464161 has 12 divisors (see below), whose sum is σ = 78236222256660. Its totient is φ = 35967421628640.

The previous prime is 54057335464159. The next prime is 54057335464177. The reversal of 54057335464161 is 16146453375045.

54057335464161 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 7 + 33 + 546 + 4 + 1 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49976854663761 + 4080480800400 = 7069431^2 + 2020020^2 .

It is not a de Polignac number, because 54057335464161 - 21 = 54057335464159 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54057335464098 and 54057335464107.

It is not an unprimeable number, because it can be changed into a prime (54057335463161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5900163010 + ... + 5900172171.

It is an arithmetic number, because the mean of its divisors is an integer number (6519685188055).

Almost surely, 254057335464161 is an apocalyptic number.

It is an amenable number.

54057335464161 is a deficient number, since it is larger than the sum of its proper divisors (24178886792499).

54057335464161 is a wasteful number, since it uses less digits than its factorization.

54057335464161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11800335696 (or 11800335693 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 54057335464161 in words is "fifty-four trillion, fifty-seven billion, three hundred thirty-five million, four hundred sixty-four thousand, one hundred sixty-one".

Divisors: 1 3 9 509 1527 4581 11800335181 35401005543 106203016629 6006370607129 18019111821387 54057335464161