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57461984929 is a prime number
BaseRepresentation
bin110101100001000000…
…000100111010100001
312111022121212021121001
4311201000010322201
51420140232004204
642221521432001
74102650545566
oct654100047241
9174277767531
1057461984929
1122407879848
12b177a9b601
1355599aa81b
142ad178886d
151764a184a4
hexd61004ea1

57461984929 has 2 divisors, whose sum is σ = 57461984930. Its totient is φ = 57461984928.

The previous prime is 57461984851. The next prime is 57461984941. The reversal of 57461984929 is 92948916475.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56522685025 + 939299904 = 237745^2 + 30648^2 .

It is a cyclic number.

It is not a de Polignac number, because 57461984929 - 225 = 57428430497 is a prime.

It is not a weakly prime, because it can be changed into another prime (57461984959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28730992464 + 28730992465.

It is an arithmetic number, because the mean of its divisors is an integer number (28730992465).

Almost surely, 257461984929 is an apocalyptic number.

It is an amenable number.

57461984929 is a deficient number, since it is larger than the sum of its proper divisors (1).

57461984929 is an equidigital number, since it uses as much as digits as its factorization.

57461984929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39191040, while the sum is 64.

The spelling of 57461984929 in words is "fifty-seven billion, four hundred sixty-one million, nine hundred eighty-four thousand, nine hundred twenty-nine".