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57670766230241 is a prime number
BaseRepresentation
bin11010001110011100001011…
…00010001111101011100001
321120012021022212010021011202
431013032011202033223201
530024334212123331431
6322353330111050545
715101401230523403
oct1507160542175341
9246167285107152
1057670766230241
111741504207712a
126574b92b10a55
132624439ab1508
1410353cc394b73
156a0237be38cb
hex34738588fae1

57670766230241 has 2 divisors, whose sum is σ = 57670766230242. Its totient is φ = 57670766230240.

The previous prime is 57670766230211. The next prime is 57670766230283. The reversal of 57670766230241 is 14203266707675.

57670766230241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55052259717841 + 2618506512400 = 7419721^2 + 1618180^2 .

It is a cyclic number.

It is not a de Polignac number, because 57670766230241 - 214 = 57670766213857 is a prime.

It is not a weakly prime, because it can be changed into another prime (57670766230211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28835383115120 + 28835383115121.

It is an arithmetic number, because the mean of its divisors is an integer number (28835383115121).

Almost surely, 257670766230241 is an apocalyptic number.

It is an amenable number.

57670766230241 is a deficient number, since it is larger than the sum of its proper divisors (1).

57670766230241 is an equidigital number, since it uses as much as digits as its factorization.

57670766230241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17781120, while the sum is 56.

The spelling of 57670766230241 in words is "fifty-seven trillion, six hundred seventy billion, seven hundred sixty-six million, two hundred thirty thousand, two hundred forty-one".