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65564675136 = 26324722272
BaseRepresentation
bin111101000011111101…
…011000110001000000
320021020022111120222100
4331003331120301000
52033234024101021
650041530310400
74510516354242
oct750375306100
9207208446870
1065564675136
1125895605934
1210859588400
13624b596a7c
14325d944092
151a8b04a626
hexf43f58c40

65564675136 has 189 divisors, whose sum is σ = 192862471399. Its totient is φ = 21295665408.

The previous prime is 65564675131. The next prime is 65564675171. The reversal of 65564675136 is 63157646556.

The square root of 65564675136 is 256056.

It is a perfect power (a square), and thus also a powerful number.

65564675136 is a `hidden beast` number, since 6 + 5 + 5 + 64 + 67 + 513 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65564675131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 288831055 + ... + 288831281.

Almost surely, 265564675136 is an apocalyptic number.

65564675136 is the 256056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65564675136

65564675136 is an abundant number, since it is smaller than the sum of its proper divisors (127297796263).

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

65564675136 is an equidigital number, since it uses as much as digits as its factorization.

65564675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 279 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 65564675136 in words is "sixty-five billion, five hundred sixty-four million, six hundred seventy-five thousand, one hundred thirty-six".