Search a number
-
+
5759916401 is a prime number
BaseRepresentation
bin1010101110101000…
…10101100101110001
3112212102022001220002
411113110111211301
543244014311101
62351314555345
7262510324121
oct52724254561
915772261802
105759916401
112496360498
121148b98b55
1370a418b75
143c8d94c81
1523aa11d6b
hex157515971

5759916401 has 2 divisors, whose sum is σ = 5759916402. Its totient is φ = 5759916400.

The previous prime is 5759916397. The next prime is 5759916431. The reversal of 5759916401 is 1046199575.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5682898225 + 77018176 = 75385^2 + 8776^2 .

It is a cyclic number.

It is not a de Polignac number, because 5759916401 - 22 = 5759916397 is a prime.

It is not a weakly prime, because it can be changed into another prime (5759916431) 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, 2879958200 + 2879958201.

It is an arithmetic number, because the mean of its divisors is an integer number (2879958201).

Almost surely, 25759916401 is an apocalyptic number.

It is an amenable number.

5759916401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5759916401 is an equidigital number, since it uses as much as digits as its factorization.

5759916401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 340200, while the sum is 47.

The square root of 5759916401 is about 75894.1130852716. The cubic root of 5759916401 is about 1792.5532263366.

The spelling of 5759916401 in words is "five billion, seven hundred fifty-nine million, nine hundred sixteen thousand, four hundred one".