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20044332000 = 25325372111033
BaseRepresentation
bin10010101010101111…
…000011101111100000
31220201220221120022200
4102222233003233200
5312022322111000
613112551333200
71306501003500
oct225257035740
956656846280
1020044332000
118556559340
123a74981200
131b7592a1a4
14d82145a00
157c4ac6500
hex4aabc3be0

20044332000 has 864 divisors, whose sum is σ = 90361855584. Its totient is φ = 4161024000.

The previous prime is 20044331987. The next prime is 20044332013. The reversal of 20044332000 is 23344002.

20044332000 is a `hidden beast` number, since 20 + 0 + 443 + 3 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20044331987) and next prime (20044332013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19403484 + ... + 19404516.

It is an arithmetic number, because the mean of its divisors is an integer number (104585481).

Almost surely, 220044332000 is an apocalyptic number.

20044332000 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 20044332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45180927792).

20044332000 is an abundant number, since it is smaller than the sum of its proper divisors (70317523584).

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

20044332000 is a wasteful number, since it uses less digits than its factorization.

20044332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20044332000 its reverse (23344002), we get a palindrome (20067676002).

The spelling of 20044332000 in words is "twenty billion, forty-four million, three hundred thirty-two thousand".