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4664568480 = 2535111367957
BaseRepresentation
bin1000101100000011…
…11010101010100000
3110001002012122000120
410112001322222200
534023112142410
62050505520240
7223410115005
oct42601725240
913032178016
104664568480
111a84033380
12aa21a3080
135945067c0
143237078ac
151c4799570
hex11607aaa0

4664568480 has 192 divisors, whose sum is σ = 17262419328. Its totient is φ = 1043804160.

The previous prime is 4664568479. The next prime is 4664568499. The reversal of 4664568480 is 848654664.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34662 + ... + 102618.

It is an arithmetic number, because the mean of its divisors is an integer number (89908434).

Almost surely, 24664568480 is an apocalyptic number.

4664568480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631209664).

4664568480 is an abundant number, since it is smaller than the sum of its proper divisors (12597850848).

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

4664568480 is a wasteful number, since it uses less digits than its factorization.

4664568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67999 (or 67991 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The square root of 4664568480 is about 68297.6462259132. The cubic root of 4664568480 is about 1670.8488256611.

The spelling of 4664568480 in words is "four billion, six hundred sixty-four million, five hundred sixty-eight thousand, four hundred eighty".