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4568630976 = 2632713432027
BaseRepresentation
bin1000100000100111…
…11100011011000000
3102210101200111111200
410100103330123000
533324032142401
62033201341200
7221133502560
oct42023743300
912711614450
104568630976
111a34967088
12a76037800
1357a686150
14314a92da0
151bb148686
hex1104fc6c0

4568630976 has 336 divisors, whose sum is σ = 16500067584. Its totient is φ = 1176311808.

The previous prime is 4568630953. The next prime is 4568630977. The reversal of 4568630976 is 6790368654.

4568630976 is a `hidden beast` number, since 4 + 568 + 6 + 3 + 0 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (4568630977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252875 + ... + 2254901.

It is an arithmetic number, because the mean of its divisors is an integer number (49107344).

Almost surely, 24568630976 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 4568630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8250033792).

4568630976 is an abundant number, since it is smaller than the sum of its proper divisors (11931436608).

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

4568630976 is a wasteful number, since it uses less digits than its factorization.

4568630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4568630976 is about 67591.6487149115. The cubic root of 4568630976 is about 1659.3144428048.

The spelling of 4568630976 in words is "four billion, five hundred sixty-eight million, six hundred thirty thousand, nine hundred seventy-six".