Search a number
-
+
5305344761 is a prime number
BaseRepresentation
bin1001111000011100…
…10010001011111001
3111200201221102211102
410330032102023321
541331132013021
62234235541145
7245320454303
oct47416221371
914621842742
105305344761
112282802052
1210408ba7b5
136671ab372
14384866973
15210b6e00b
hex13c3922f9

5305344761 has 2 divisors, whose sum is σ = 5305344762. Its totient is φ = 5305344760.

The previous prime is 5305344739. The next prime is 5305344791. The reversal of 5305344761 is 1674435035.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4798194361 + 507150400 = 69269^2 + 22520^2 .

It is a cyclic number.

It is not a de Polignac number, because 5305344761 - 218 = 5305082617 is a prime.

It is not a weakly prime, because it can be changed into another prime (5305344731) 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, 2652672380 + 2652672381.

It is an arithmetic number, because the mean of its divisors is an integer number (2652672381).

Almost surely, 25305344761 is an apocalyptic number.

It is an amenable number.

5305344761 is a deficient number, since it is larger than the sum of its proper divisors (1).

5305344761 is an equidigital number, since it uses as much as digits as its factorization.

5305344761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 5305344761 is about 72837.7976122288. The cubic root of 5305344761 is about 1744.0992837638.

Adding to 5305344761 its reverse (1674435035), we get a palindrome (6979779796).

The spelling of 5305344761 in words is "five billion, three hundred five million, three hundred forty-four thousand, seven hundred sixty-one".