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57589814441 is a prime number
BaseRepresentation
bin110101101000100111…
…101101010010101001
312111122112101200201102
4311220213231102221
51420420443030231
642242325331145
74106062226435
oct655047552251
9174575350642
1057589814441
1122472a48a75
12b1b2866ab5
13557a3163a3
142b047419c5
151770d68acb
hexd689ed4a9

57589814441 has 2 divisors, whose sum is σ = 57589814442. Its totient is φ = 57589814440.

The previous prime is 57589814407. The next prime is 57589814467. The reversal of 57589814441 is 14441898575.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56984851225 + 604963216 = 238715^2 + 24596^2 .

It is a cyclic number.

It is not a de Polignac number, because 57589814441 - 210 = 57589813417 is a prime.

It is not a weakly prime, because it can be changed into another prime (57589814341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28794907220 + 28794907221.

It is an arithmetic number, because the mean of its divisors is an integer number (28794907221).

Almost surely, 257589814441 is an apocalyptic number.

It is an amenable number.

57589814441 is a deficient number, since it is larger than the sum of its proper divisors (1).

57589814441 is an equidigital number, since it uses as much as digits as its factorization.

57589814441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6451200, while the sum is 56.

The spelling of 57589814441 in words is "fifty-seven billion, five hundred eighty-nine million, eight hundred fourteen thousand, four hundred forty-one".