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264147047 is a prime number
BaseRepresentation
bin11111011111010…
…01000001100111
3200102001001121222
433233221001213
51020110201142
642113330555
76355133003
oct1757510147
9612031558
10264147047
1112611664a
1274566a5b
1342956a38
142711d703
15182cabd2
hexfbe9067

264147047 has 2 divisors, whose sum is σ = 264147048. Its totient is φ = 264147046.

The previous prime is 264147041. The next prime is 264147049. The reversal of 264147047 is 740741462.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 264147047 - 26 = 264146983 is a prime.

Together with 264147049, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 264146998 and 264147016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264147041) 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, 132073523 + 132073524.

It is an arithmetic number, because the mean of its divisors is an integer number (132073524).

Almost surely, 2264147047 is an apocalyptic number.

264147047 is a deficient number, since it is larger than the sum of its proper divisors (1).

264147047 is an equidigital number, since it uses as much as digits as its factorization.

264147047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 264147047 is about 16252.6012379557. The cubic root of 264147047 is about 641.6259495237.

The spelling of 264147047 in words is "two hundred sixty-four million, one hundred forty-seven thousand, forty-seven".