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264947009 is a prime number
BaseRepresentation
bin11111100101011…
…00010101000001
3200110112200222012
433302230111001
51020311301014
642142422305
76365004155
oct1762542501
9613480865
10264947009
11126612678
1274891995
1342b76ba2
142728b065
15183d7c3e
hexfcac541

264947009 has 2 divisors, whose sum is σ = 264947010. Its totient is φ = 264947008.

The previous prime is 264946991. The next prime is 264947017. The reversal of 264947009 is 900749462.

264947009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238393600 + 26553409 = 15440^2 + 5153^2 .

It is a cyclic number.

It is not a de Polignac number, because 264947009 - 28 = 264946753 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (264946009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132473504 + 132473505.

It is an arithmetic number, because the mean of its divisors is an integer number (132473505).

Almost surely, 2264947009 is an apocalyptic number.

It is an amenable number.

264947009 is a deficient number, since it is larger than the sum of its proper divisors (1).

264947009 is an equidigital number, since it uses as much as digits as its factorization.

264947009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 264947009 is about 16277.1929090983. The cubic root of 264947009 is about 642.2730122184.

The spelling of 264947009 in words is "two hundred sixty-four million, nine hundred forty-seven thousand, nine".