Search a number
-
+
57596693041 is a prime number
BaseRepresentation
bin110101101001000001…
…111100101000110001
312111200000100011101101
4311221001330220301
51420424223134131
642243133004401
74106204545606
oct655101745061
9174600304341
1057596693041
1122476916a68
12b1b5023701
13557b884274
142b056126ad
151771776c61
hexd6907ca31

57596693041 has 2 divisors, whose sum is σ = 57596693042. Its totient is φ = 57596693040.

The previous prime is 57596693029. The next prime is 57596693047. The reversal of 57596693041 is 14039669575.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45079782400 + 12516910641 = 212320^2 + 111879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57596693041 is a prime.

It is not a weakly prime, because it can be changed into another prime (57596693047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28798346520 + 28798346521.

It is an arithmetic number, because the mean of its divisors is an integer number (28798346521).

Almost surely, 257596693041 is an apocalyptic number.

It is an amenable number.

57596693041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57596693041 is an equidigital number, since it uses as much as digits as its factorization.

57596693041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6123600, while the sum is 55.

The spelling of 57596693041 in words is "fifty-seven billion, five hundred ninety-six million, six hundred ninety-three thousand, forty-one".