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5664863952 = 2434111572531
BaseRepresentation
bin1010100011010011…
…01111011011010000
3112121210102220110000
411101221233123100
543100201121302
62334041410000
7260244356226
oct52151573320
915553386400
105664863952
112447739150
121121199900
136c3818307
143ba4d0b16
152324d831c
hex151a6f6d0

5664863952 has 200 divisors, whose sum is σ = 18007320672. Its totient is φ = 1705017600.

The previous prime is 5664863917. The next prime is 5664863977. The reversal of 5664863952 is 2593684665.

5664863952 is a `hidden beast` number, since 566 + 48 + 6 + 39 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2236927 + ... + 2239457.

Almost surely, 25664863952 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 5664863952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003660336).

5664863952 is an abundant number, since it is smaller than the sum of its proper divisors (12342456720).

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

5664863952 is a wasteful number, since it uses less digits than its factorization.

5664863952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2704 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 5664863952 is about 75265.2904863856. The cubic root of 5664863952 is about 1782.6380057427.

The spelling of 5664863952 in words is "five billion, six hundred sixty-four million, eight hundred sixty-three thousand, nine hundred fifty-two".