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57456324041 is a prime number
BaseRepresentation
bin110101100000101010…
…011110110111001001
312111022020012200022112
4311200222132313021
51420132304332131
642221200232105
74102551460544
oct654052366711
9174266180275
1057456324041
1122404662726
12b17600b635
135558777c9c
142ad0b1385b
15176429b02b
hexd60a9edc9

57456324041 has 2 divisors, whose sum is σ = 57456324042. Its totient is φ = 57456324040.

The previous prime is 57456324031. The next prime is 57456324047. The reversal of 57456324041 is 14042365475.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44017718416 + 13438605625 = 209804^2 + 115925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57456324041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57456324041.

It is not a weakly prime, because it can be changed into another prime (57456324047) 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, 28728162020 + 28728162021.

It is an arithmetic number, because the mean of its divisors is an integer number (28728162021).

Almost surely, 257456324041 is an apocalyptic number.

It is an amenable number.

57456324041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57456324041 is an equidigital number, since it uses as much as digits as its factorization.

57456324041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 57456324041 in words is "fifty-seven billion, four hundred fifty-six million, three hundred twenty-four thousand, forty-one".