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5666480064 = 2635752051
BaseRepresentation
bin1010100011011111…
…11001111111000000
3112121220111000100000
411101233321333000
543101104330224
62334140200000
7260264200020
oct52157717700
915556430300
105666480064
112448642383
121121839000
136c3c62aab
143ba7d1a80
152327070c9
hex151bf9fc0

5666480064 has 168 divisors, whose sum is σ = 19250078848. Its totient is φ = 1618963200.

The previous prime is 5666480051. The next prime is 5666480087. The reversal of 5666480064 is 4600846665.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82839 + ... + 134889.

Almost surely, 25666480064 is an apocalyptic number.

5666480064 is a gapful number since it is divisible by the number (54) 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 5666480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625039424).

5666480064 is an abundant number, since it is smaller than the sum of its proper divisors (13583598784).

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

5666480064 is an equidigital number, since it uses as much as digits as its factorization.

5666480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52085 (or 52063 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5666480064 is about 75276.0258249597. The cubic root of 5666480064 is about 1782.8075107696.

The spelling of 5666480064 in words is "five billion, six hundred sixty-six million, four hundred eighty thousand, sixty-four".