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664618752 = 283273292
BaseRepresentation
bin100111100111010…
…100011100000000
31201022121010112100
4213213110130000
52330120300002
6145541030400
722320111000
oct4747243400
91638533470
10664618752
113111839a6
121666b5400
13a7901c45
14643a8000
153d53411c
hex279d4700

664618752 has 324 divisors, whose sum is σ = 2314421200. Its totient is φ = 183343104.

The previous prime is 664618739. The next prime is 664618763. The reversal of 664618752 is 257816466.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

664618752 is a `hidden beast` number, since 66 + 461 + 87 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 664618698 and 664618707.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 22917874 + ... + 22917902.

Almost surely, 2664618752 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 664618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157210600).

664618752 is an abundant number, since it is smaller than the sum of its proper divisors (1649802448).

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

664618752 is an equidigital number, since it uses as much as digits as its factorization.

664618752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 664618752 is about 25780.2007750134. The cubic root of 664618752 is about 872.6850381077.

The spelling of 664618752 in words is "six hundred sixty-four million, six hundred eighteen thousand, seven hundred fifty-two".