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20389682880 = 26355747797
BaseRepresentation
bin10010111111010100…
…011101111011000000
31221121222210012200000
4102333110131323000
5313224224323010
613211125400000
71321163305410
oct227724357300
957558705600
1020389682880
118713498596
123b50569000
131bcc346218
14db5d62640
157e50927c0
hex4bf51dec0

20389682880 has 672 divisors, whose sum is σ = 84994430976. Its totient is φ = 4555616256.

The previous prime is 20389682843. The next prime is 20389682903. The reversal of 20389682880 is 8828698302.

It is a tau number, because it is divible by the number of its divisors (672).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25582642 + ... + 25583438.

It is an arithmetic number, because the mean of its divisors is an integer number (126479808).

Almost surely, 220389682880 is an apocalyptic number.

20389682880 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 20389682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497215488).

20389682880 is an abundant number, since it is smaller than the sum of its proper divisors (64604748096).

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

20389682880 is an equidigital number, since it uses as much as digits as its factorization.

20389682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 20389682880 in words is "twenty billion, three hundred eighty-nine million, six hundred eighty-two thousand, eight hundred eighty".