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5664224384 = 277213127547
BaseRepresentation
bin1010100011001110…
…10011010010000000
3112121202020102010022
411101213103102000
543100020140014
62334015553012
7260236053500
oct52147232200
915552212108
105664224384
112447341685
121120b2b768
136c3653180
143ba3a5a00
1523240da8e
hex1519d3480

5664224384 has 192 divisors, whose sum is σ = 14273602560. Its totient is φ = 2219083776.

The previous prime is 5664224383. The next prime is 5664224417. The reversal of 5664224384 is 4834224665.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5664224383) 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 23 ways as a sum of consecutive naturals, for example, 10354799 + ... + 10355345.

It is an arithmetic number, because the mean of its divisors is an integer number (74341680).

Almost surely, 25664224384 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 5664224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136801280).

5664224384 is an abundant number, since it is smaller than the sum of its proper divisors (8609378176).

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

5664224384 is a wasteful number, since it uses less digits than its factorization.

5664224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 696 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 44.

The square root of 5664224384 is about 75261.0416085241. The cubic root of 5664224384 is about 1782.5709160977.

The spelling of 5664224384 in words is "five billion, six hundred sixty-four million, two hundred twenty-four thousand, three hundred eighty-four".