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564666666465 = 351121916374269
BaseRepresentation
bin10000011011110001100…
…00011000110111100001
31222222111120221201220110
420031320300120313201
533222414131311330
61111223154201533
755536652320546
oct10157060306741
91888446851813
10564666666465
111a8523681100
12915298832a9
134132b667665
141d4897a8bcd
15ea4cde6db0
hex8378c18de1

564666666465 has 48 divisors (see below), whose sum is σ = 1045333396800. Its totient is φ = 259368405120.

The previous prime is 564666666451. The next prime is 564666666481.

564666666465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564666666465 - 24 = 564666666449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564666666396 and 564666666405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8152650 + ... + 8221619.

It is an arithmetic number, because the mean of its divisors is an integer number (21777779100).

Almost surely, 2564666666465 is an apocalyptic number.

564666666465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564666666465 is a deficient number, since it is larger than the sum of its proper divisors (480666730335).

564666666465 is a wasteful number, since it uses less digits than its factorization.

564666666465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16374318 (or 16374307 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 66.

The spelling of 564666666465 in words is "five hundred sixty-four billion, six hundred sixty-six million, six hundred sixty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 121 165 209 285 363 605 627 1045 1815 2299 3135 6897 11495 34485 16374269 49122807 81871345 180116959 245614035 311111111 540350877 900584795 933333333 1555555555 1981286549 2701754385 3422222221 4666666665 5943859647 9906432745 10266666663 17111111105 29719298235 37644444431 51333333315 112933333293 188222222155 564666666465