Search a number
-
+
5004646313 is a prime number
BaseRepresentation
bin1001010100100110…
…01101011110101001
3110220210010101002212
410222103031132221
540222142140223
62144334534505
7235006535402
oct45223153651
913823111085
105004646313
112138aa0937
12b78067435
13619ac76a4
143569509a9
151e4573278
hex12a4cd7a9

5004646313 has 2 divisors, whose sum is σ = 5004646314. Its totient is φ = 5004646312.

The previous prime is 5004646219. The next prime is 5004646349. The reversal of 5004646313 is 3136464005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4236968464 + 767677849 = 65092^2 + 27707^2 .

It is a cyclic number.

It is not a de Polignac number, because 5004646313 - 218 = 5004384169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5004646313.

It is not a weakly prime, because it can be changed into another prime (5004646373) 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, 2502323156 + 2502323157.

It is an arithmetic number, because the mean of its divisors is an integer number (2502323157).

Almost surely, 25004646313 is an apocalyptic number.

It is an amenable number.

5004646313 is a deficient number, since it is larger than the sum of its proper divisors (1).

5004646313 is an equidigital number, since it uses as much as digits as its factorization.

5004646313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 5004646313 is about 70743.5248839072. The cubic root of 5004646313 is about 1710.5054549245.

The spelling of 5004646313 in words is "five billion, four million, six hundred forty-six thousand, three hundred thirteen".