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20123867232 = 2533721727961
BaseRepresentation
bin10010101111011110…
…011101100001100000
31220221110121101011000
4102233132131201200
5312203202222412
613124512152000
71311455022600
oct225736354140
956843541130
1020123867232
118597442337
123a97538600
131b89256b61
14d8c92ac00
157cba874dc
hex4af79d860

20123867232 has 288 divisors, whose sum is σ = 72296310240. Its totient is φ = 5411266560.

The previous prime is 20123867201. The next prime is 20123867251. The reversal of 20123867232 is 23276832102.

20123867232 is a `hidden beast` number, since 201 + 2 + 386 + 72 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705732 + ... + 733692.

It is an arithmetic number, because the mean of its divisors is an integer number (251028855).

Almost surely, 220123867232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123867232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36148155120).

20123867232 is an abundant number, since it is smaller than the sum of its proper divisors (52172443008).

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

20123867232 is a wasteful number, since it uses less digits than its factorization.

20123867232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28011 (or 27990 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20123867232 in words is "twenty billion, one hundred twenty-three million, eight hundred sixty-seven thousand, two hundred thirty-two".