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4563066816 = 2632711247199
BaseRepresentation
bin1000011111111101…
…01101111111000000
3102210000012210220200
410033332231333000
533321121114231
62032442205200
7221035266540
oct41776557700
912700183820
104563066816
111a31806700
12a741b3800
13579488649
14314045320
151ba8e9be6
hex10ffadfc0

4563066816 has 504 divisors, whose sum is σ = 16863974400. Its totient is φ = 1154165760.

The previous prime is 4563066803. The next prime is 4563066817. The reversal of 4563066816 is 6186603654.

4563066816 is a `hidden beast` number, since 4 + 5 + 630 + 6 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4563066817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22929885 + ... + 22930083.

Almost surely, 24563066816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4563066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431987200).

4563066816 is an abundant number, since it is smaller than the sum of its proper divisors (12300907584).

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

4563066816 is a wasteful number, since it uses less digits than its factorization.

4563066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4563066816 is about 67550.4760604986. The cubic root of 4563066816 is about 1658.6405398480.

The spelling of 4563066816 in words is "four billion, five hundred sixty-three million, sixty-six thousand, eight hundred sixteen".