Search a number
-
+
57659345461 is a prime number
BaseRepresentation
bin110101101100110000…
…111100101000110101
312111211101020020100101
4311230300330220311
51421041243023321
642253251514101
74110565230664
oct655460745065
9174741206311
1057659345461
11224a9219723
12b211bb8931
13558b84c5c3
142b0da80ddb
151777000791
hexd6cc3ca35

57659345461 has 2 divisors, whose sum is σ = 57659345462. Its totient is φ = 57659345460.

The previous prime is 57659345441. The next prime is 57659345503. The reversal of 57659345461 is 16454395675.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31433162436 + 26226183025 = 177294^2 + 161945^2 .

It is a cyclic number.

It is not a de Polignac number, because 57659345461 - 227 = 57525127733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57659345441) 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, 28829672730 + 28829672731.

It is an arithmetic number, because the mean of its divisors is an integer number (28829672731).

Almost surely, 257659345461 is an apocalyptic number.

It is an amenable number.

57659345461 is a deficient number, since it is larger than the sum of its proper divisors (1).

57659345461 is an equidigital number, since it uses as much as digits as its factorization.

57659345461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608000, while the sum is 55.

The spelling of 57659345461 in words is "fifty-seven billion, six hundred fifty-nine million, three hundred forty-five thousand, four hundred sixty-one".