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20789725320 = 233257132979277
BaseRepresentation
bin10011010111001010…
…100000100010001000
31222122212112110201200
4103113022200202020
5320034132202240
613314535544200
71334121515040
oct232712404210
958585473650
1020789725320
1188a9292381
12404252b060
131c641a0c20
141013138720
1581a263930
hex4d72a0888

20789725320 has 768 divisors, whose sum is σ = 87429888000. Its totient is φ = 4166443008.

The previous prime is 20789725259. The next prime is 20789725321. The reversal of 20789725320 is 2352798702.

20789725320 is a `hidden beast` number, since 20 + 7 + 8 + 97 + 2 + 532 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20789725321) 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 191 ways as a sum of consecutive naturals, for example, 75053022 + ... + 75053298.

It is an arithmetic number, because the mean of its divisors is an integer number (113841000).

Almost surely, 220789725320 is an apocalyptic number.

20789725320 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 20789725320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43714944000).

20789725320 is an abundant number, since it is smaller than the sum of its proper divisors (66640162680).

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

20789725320 is a wasteful number, since it uses less digits than its factorization.

20789725320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 20789725320 in words is "twenty billion, seven hundred eighty-nine million, seven hundred twenty-five thousand, three hundred twenty".