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647361313 = 312798527
BaseRepresentation
bin100110100101011…
…111001100100001
31200010010100202221
4212211133030201
52311211030223
6144123111041
722020323524
oct4645371441
91603110687
10647361313
11302467155
12160972481
13a416bc41
1461d94bbb
153bc75b5d
hex2695f321

647361313 has 12 divisors (see below), whose sum is σ = 677464320. Its totient is φ = 618476040.

The previous prime is 647361307. The next prime is 647361349. The reversal of 647361313 is 313163746.

647361313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 647361313 - 213 = 647353121 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647361373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71656 + ... + 80182.

It is an arithmetic number, because the mean of its divisors is an integer number (56455360).

Almost surely, 2647361313 is an apocalyptic number.

It is an amenable number.

647361313 is a deficient number, since it is larger than the sum of its proper divisors (30103007).

647361313 is an equidigital number, since it uses as much as digits as its factorization.

647361313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8637 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 647361313 is about 25443.2960325505. The cubic root of 647361313 is about 865.0653443903.

It can be divided in two parts, 64736 and 1313, that added together give a square (66049 = 2572).

The spelling of 647361313 in words is "six hundred forty-seven million, three hundred sixty-one thousand, three hundred thirteen".

Divisors: 1 31 79 961 2449 8527 75919 264337 673633 8194447 20882623 647361313