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664283617920 = 27355131917293
BaseRepresentation
bin10011010101010100110…
…00111001101010000000
32100111122001211012100000
421222222120321222000
541340423101233140
61225100115200000
765664365405466
oct11525230715200
92314561735300
10664283617920
112367a286a15a
12a88ab2a6000
134a8459bc450
14242199d8836
151242d6baa30
hex9aaa639a80

664283617920 has 768 divisors, whose sum is σ = 2696784854400. Its totient is φ = 154900905984.

The previous prime is 664283617909. The next prime is 664283617961. The reversal of 664283617920 is 29716382466.

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

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 95 ways as a sum of consecutive naturals, for example, 38404794 + ... + 38422086.

Almost surely, 2664283617920 is an apocalyptic number.

664283617920 is a gapful number since it is divisible by the number (60) 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 664283617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348392427200).

664283617920 is an abundant number, since it is smaller than the sum of its proper divisors (2032501236480).

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

664283617920 is a wasteful number, since it uses less digits than its factorization.

664283617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17359 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 664283617920 in words is "six hundred sixty-four billion, two hundred eighty-three million, six hundred seventeen thousand, nine hundred twenty".