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57460726241 is a prime number
BaseRepresentation
bin110101100000111011…
…010001100111100001
312111022112111022222222
4311200323101213201
51420134421214431
642221434440425
74102634054132
oct654073214741
9174275438888
1057460726241
112240709a106
12b177593115
135559659939
142ad153bc89
15176486a57b
hexd60ed19e1

57460726241 has 2 divisors, whose sum is σ = 57460726242. Its totient is φ = 57460726240.

The previous prime is 57460726229. The next prime is 57460726249. The reversal of 57460726241 is 14262706475.

It is a happy number.

57460726241 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., 56741145616 + 719580625 = 238204^2 + 26825^2 .

It is a cyclic number.

It is not a de Polignac number, because 57460726241 - 26 = 57460726177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57460726192 and 57460726201.

It is not a weakly prime, because it can be changed into another prime (57460726249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28730363120 + 28730363121.

It is an arithmetic number, because the mean of its divisors is an integer number (28730363121).

Almost surely, 257460726241 is an apocalyptic number.

It is an amenable number.

57460726241 is a deficient number, since it is larger than the sum of its proper divisors (1).

57460726241 is an equidigital number, since it uses as much as digits as its factorization.

57460726241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 57460726241 in words is "fifty-seven billion, four hundred sixty million, seven hundred twenty-six thousand, two hundred forty-one".