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20665730304 = 2832196171109
BaseRepresentation
bin10011001111110001…
…100000010100000000
31222100020012212112200
4103033301200110000
5314310411332204
613254350153200
71331054544402
oct231761402400
958306185480
1020665730304
1188452a205a
124008ab2800
131c445a87ab
14100089cb72
1580e41e539
hex4cfc60500

20665730304 has 432 divisors, whose sum is σ = 65239574400. Its totient is φ = 6270566400.

The previous prime is 20665730303. The next prime is 20665730311. The reversal of 20665730304 is 40303756602.

20665730304 is a `hidden beast` number, since 20 + 66 + 573 + 0 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20665730303) 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 47 ways as a sum of consecutive naturals, for example, 189593802 + ... + 189593910.

Almost surely, 220665730304 is an apocalyptic number.

20665730304 is a gapful number since it is divisible by the number (24) 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 20665730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32619787200).

20665730304 is an abundant number, since it is smaller than the sum of its proper divisors (44573844096).

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

20665730304 is a wasteful number, since it uses less digits than its factorization.

20665730304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 20665730304 in words is "twenty billion, six hundred sixty-five million, seven hundred thirty thousand, three hundred four".