Search a number
-
+
12933735761 is a prime number
BaseRepresentation
bin11000000101110100…
…10010010101010001
31020101101002212000102
430002322102111101
5202442014021021
65535222502145
7635336640302
oct140272222521
936341085012
1012933735761
115537836121
12260b594955
1312b17406ab
148a9a3a7a9
1550a71300b
hex302e92551

12933735761 has 2 divisors, whose sum is σ = 12933735762. Its totient is φ = 12933735760.

The previous prime is 12933735733. The next prime is 12933735769. The reversal of 12933735761 is 16753733921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12795908161 + 137827600 = 113119^2 + 11740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12933735761 is a prime.

It is not a weakly prime, because it can be changed into another prime (12933735769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6466867880 + 6466867881.

It is an arithmetic number, because the mean of its divisors is an integer number (6466867881).

Almost surely, 212933735761 is an apocalyptic number.

It is an amenable number.

12933735761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12933735761 is an equidigital number, since it uses as much as digits as its factorization.

12933735761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 714420, while the sum is 47.

The spelling of 12933735761 in words is "twelve billion, nine hundred thirty-three million, seven hundred thirty-five thousand, seven hundred sixty-one".