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564540066 = 23246796703
BaseRepresentation
bin100001101001100…
…011001010100010
31110100021121101100
4201221203022202
52124010240231
6132004015230
716663340256
oct4151431242
91410247340
10564540066
1126a739342
12139091516
138cc6169c
1454d96266
15348661e6
hex21a632a2

564540066 has 24 divisors (see below), whose sum is σ = 1223614080. Its totient is φ = 188111736.

The previous prime is 564540059. The next prime is 564540073. The reversal of 564540066 is 660045465.

It is a happy number.

564540066 is a `hidden beast` number, since 5 + 645 + 4 + 0 + 0 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (564540059) and next prime (564540073).

It is a super-2 number, since 2×5645400662 = 637410972238568712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 564540066.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80871 + ... + 87573.

It is an arithmetic number, because the mean of its divisors is an integer number (50983920).

Almost surely, 2564540066 is an apocalyptic number.

564540066 is an abundant number, since it is smaller than the sum of its proper divisors (659074014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564540066 is a wasteful number, since it uses less digits than its factorization.

564540066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11390 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 564540066 is about 23760.0518938827. The cubic root of 564540066 is about 826.4785562776.

The spelling of 564540066 in words is "five hundred sixty-four million, five hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 9 18 4679 6703 9358 13406 14037 20109 28074 40218 42111 60327 84222 120654 31363337 62726674 94090011 188180022 282270033 564540066