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57086744768017 is a prime number
BaseRepresentation
bin11001111101011100010110…
…01001001010111000010001
321111010102212101201000211221
430332232023021022320101
524440302123130034032
6321225142152205041
715011244516146536
oct1476561311127021
9244112771630757
1057086744768017
111720a39719a558
12649b963399781
1325b13456343b3
141015028296d8d
1568ee55a2c597
hex33eb8b24ae11

57086744768017 has 2 divisors, whose sum is σ = 57086744768018. Its totient is φ = 57086744768016.

The previous prime is 57086744767993. The next prime is 57086744768189. The reversal of 57086744768017 is 71086744768075.

57086744768017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47253195817216 + 9833548950801 = 6874096^2 + 3135849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57086744768017 is a prime.

It is a super-2 number, since 2×570867447680172 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57086744766017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28543372384008 + 28543372384009.

It is an arithmetic number, because the mean of its divisors is an integer number (28543372384009).

Almost surely, 257086744768017 is an apocalyptic number.

It is an amenable number.

57086744768017 is a deficient number, since it is larger than the sum of its proper divisors (1).

57086744768017 is an equidigital number, since it uses as much as digits as its factorization.

57086744768017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442552320, while the sum is 70.

The spelling of 57086744768017 in words is "fifty-seven trillion, eighty-six billion, seven hundred forty-four million, seven hundred sixty-eight thousand, seventeen".