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20443264920 = 23335131678719
BaseRepresentation
bin10011000010100000…
…110111011110011000
31221202201121110102000
4103002200313132120
5313331433434140
613220322041000
71322413612311
oct230240673630
957681543360
1020443264920
118740765571
123b664a9160
131c0a486b80
14dbd10d608
157e9b28a30
hex4c2837798

20443264920 has 256 divisors, whose sum is σ = 73833984000. Its totient is φ = 5001481728.

The previous prime is 20443264903. The next prime is 20443264921. The reversal of 20443264920 is 2946234402.

20443264920 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 3 + 2 + 649 + 2 + 0 = 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 (20443264921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2340321 + ... + 2349039.

It is an arithmetic number, because the mean of its divisors is an integer number (288414000).

Almost surely, 220443264920 is an apocalyptic number.

20443264920 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 20443264920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36916992000).

20443264920 is an abundant number, since it is smaller than the sum of its proper divisors (53390719080).

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

20443264920 is a wasteful number, since it uses less digits than its factorization.

20443264920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20443264920 in words is "twenty billion, four hundred forty-three million, two hundred sixty-four thousand, nine hundred twenty".