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264245013 = 32291012433
BaseRepresentation
bin11111100000000…
…00111100010101
3200102020001000100
433300000330111
51020121320023
642115404313
76356021424
oct1760007425
9612201010
10264245013
1112618320a
12745b3699
134298c4c6
14271472bb
15182e9c43
hexfc00f15

264245013 has 12 divisors (see below), whose sum is σ = 394849260. Its totient is φ = 170088576.

The previous prime is 264244993. The next prime is 264245021. The reversal of 264245013 is 310542462.

264245013 is a `hidden beast` number, since 2 + 642 + 4 + 5 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 212663889 = 7182^2 + 14583^2 .

It is not a de Polignac number, because 264245013 - 26 = 264244949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264245053) 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 in 11 ways as a sum of consecutive naturals, for example, 505956 + ... + 506477.

It is an arithmetic number, because the mean of its divisors is an integer number (32904105).

Almost surely, 2264245013 is an apocalyptic number.

It is an amenable number.

264245013 is a deficient number, since it is larger than the sum of its proper divisors (130604247).

264245013 is a wasteful number, since it uses less digits than its factorization.

264245013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012468 (or 1012465 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 264245013 is about 16255.6148145802. The cubic root of 264245013 is about 641.7052611032.

Adding to 264245013 its reverse (310542462), we get a palindrome (574787475).

The spelling of 264245013 in words is "two hundred sixty-four million, two hundred forty-five thousand, thirteen".

Divisors: 1 3 9 29 87 261 1012433 3037299 9111897 29360557 88081671 264245013