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20328669360 = 24335174711779
BaseRepresentation
bin10010111011101011…
…101110000010110000
31221110201222101212000
4102323223232002300
5313113114404420
613201105534000
71316522560416
oct227353560260
957421871760
1020328669360
11869200519a
123b34044300
131bbc802b4c
14dabbdd2b6
157dea3e690
hex4bbaee0b0

20328669360 has 320 divisors, whose sum is σ = 75723724800. Its totient is φ = 4993118208.

The previous prime is 20328669359. The next prime is 20328669397. The reversal of 20328669360 is 6396682302.

20328669360 is a `hidden beast` number, since 2 + 0 + 3 + 286 + 6 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1719951 + ... + 1731729.

It is an arithmetic number, because the mean of its divisors is an integer number (236636640).

Almost surely, 220328669360 is an apocalyptic number.

20328669360 is a gapful number since it is divisible by the number (20) 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 20328669360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37861862400).

20328669360 is an abundant number, since it is smaller than the sum of its proper divisors (55395055440).

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

20328669360 is a wasteful number, since it uses less digits than its factorization.

20328669360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11865 (or 11853 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 20328669360 in words is "twenty billion, three hundred twenty-eight million, six hundred sixty-nine thousand, three hundred sixty".