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564868465 = 5719981101
BaseRepresentation
bin100001101010110…
…011010101110001
31110100220021212021
4201222303111301
52124101242330
6132015031441
716666205560
oct4152632561
91410807767
10564868465
1126a943047
1213920b581
1390047cc5
145503dbd7
15348cd67a
hex21ab3571

564868465 has 16 divisors (see below), whose sum is σ = 778579200. Its totient is φ = 385387200.

The previous prime is 564868429. The next prime is 564868471.

564868465 is nontrivially palindromic in base 10.

564868465 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 564868465 - 223 = 556479857 is a prime.

It is a super-3 number, since 3×5648684653 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33586 + ... + 47515.

It is an arithmetic number, because the mean of its divisors is an integer number (48661200).

Almost surely, 2564868465 is an apocalyptic number.

It is an amenable number.

564868465 is a deficient number, since it is larger than the sum of its proper divisors (213710735).

564868465 is a wasteful number, since it uses less digits than its factorization.

564868465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81312.

The product of its digits is 5529600, while the sum is 52.

The square root of 564868465 is about 23766.9616274357. The cubic root of 564868465 is about 826.6387823545.

The spelling of 564868465 in words is "five hundred sixty-four million, eight hundred sixty-eight thousand, four hundred sixty-five".

Divisors: 1 5 7 35 199 995 1393 6965 81101 405505 567707 2838535 16139099 80695495 112973693 564868465