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57713105677 is a prime number
BaseRepresentation
bin110101101111111110…
…000001101100001101
312111222010101112111111
4311233332001230031
51421144023340202
642302452052021
74112120206213
oct655776015415
9174863345444
1057713105677
11225265a8557
12b228004011
135599a23396
142b16c76cb3
15177babe6d7
hexd6ff81b0d

57713105677 has 2 divisors, whose sum is σ = 57713105678. Its totient is φ = 57713105676.

The previous prime is 57713105651. The next prime is 57713105699. The reversal of 57713105677 is 77650131775.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48882556836 + 8830548841 = 221094^2 + 93971^2 .

It is a cyclic number.

It is not a de Polignac number, because 57713105677 - 215 = 57713072909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57713105677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57713105617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28856552838 + 28856552839.

It is an arithmetic number, because the mean of its divisors is an integer number (28856552839).

Almost surely, 257713105677 is an apocalyptic number.

It is an amenable number.

57713105677 is a deficient number, since it is larger than the sum of its proper divisors (1).

57713105677 is an equidigital number, since it uses as much as digits as its factorization.

57713105677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080450, while the sum is 49.

The spelling of 57713105677 in words is "fifty-seven billion, seven hundred thirteen million, one hundred five thousand, six hundred seventy-seven".