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57641310761 is a prime number
BaseRepresentation
bin110101101011101100…
…001001101000101001
312111210010021222101112
4311223230021220221
51421022133421021
642251405200105
74110256025456
oct655354115051
9174703258345
1057641310761
112249a020a11
12b207b60035
135587ba6898
142b0b50882d
15177563bd5b
hexd6bb09a29

57641310761 has 2 divisors, whose sum is σ = 57641310762. Its totient is φ = 57641310760.

The previous prime is 57641310719. The next prime is 57641310791. The reversal of 57641310761 is 16701314675.

57641310761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52495974400 + 5145336361 = 229120^2 + 71731^2 .

It is a cyclic number.

It is not a de Polignac number, because 57641310761 - 222 = 57637116457 is a prime.

It is not a weakly prime, because it can be changed into another prime (57641310791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28820655380 + 28820655381.

It is an arithmetic number, because the mean of its divisors is an integer number (28820655381).

Almost surely, 257641310761 is an apocalyptic number.

It is an amenable number.

57641310761 is a deficient number, since it is larger than the sum of its proper divisors (1).

57641310761 is an equidigital number, since it uses as much as digits as its factorization.

57641310761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 57641310761 in words is "fifty-seven billion, six hundred forty-one million, three hundred ten thousand, seven hundred sixty-one".