Search a number
-
+
264693761 is a prime number
BaseRepresentation
bin11111100011011…
…10100000000001
3200110001211120122
433301232200001
51020230200021
642133150025
76362600633
oct1761564001
9613054518
10264693761
1112645a382
127478b315
1342ab8837
1427222a53
1518387bab
hexfc6e801

264693761 has 2 divisors, whose sum is σ = 264693762. Its totient is φ = 264693760.

The previous prime is 264693739. The next prime is 264693763. The reversal of 264693761 is 167396462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206094736 + 58599025 = 14356^2 + 7655^2 .

It is a cyclic number.

It is not a de Polignac number, because 264693761 - 214 = 264677377 is a prime.

It is a super-2 number, since 2×2646937612 = 140125574224650242, which contains 22 as substring.

Together with 264693763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (264693763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132346880 + 132346881.

It is an arithmetic number, because the mean of its divisors is an integer number (132346881).

Almost surely, 2264693761 is an apocalyptic number.

It is an amenable number.

264693761 is a deficient number, since it is larger than the sum of its proper divisors (1).

264693761 is an equidigital number, since it uses as much as digits as its factorization.

264693761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 44.

The square root of 264693761 is about 16269.4118209602. The cubic root of 264693761 is about 642.0683093887.

The spelling of 264693761 in words is "two hundred sixty-four million, six hundred ninety-three thousand, seven hundred sixty-one".