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20323386720 = 25325713315003
BaseRepresentation
bin10010111011010111…
…100100010101100000
31221110101001000102200
4102323113210111200
5313110241333340
613200400413200
71316426636220
oct227327442540
957411030380
1020323386720
11868a02727a
123b32317200
131bbb6a3520
14dab226080
157de349330
hex4bb5e4560

20323386720 has 576 divisors, whose sum is σ = 88129327104. Its totient is φ = 4148858880.

The previous prime is 20323386697. The next prime is 20323386739. The reversal of 20323386720 is 2768332302.

It is a happy number.

20323386720 is a `hidden beast` number, since 203 + 2 + 3 + 386 + 72 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4059739 + ... + 4064741.

It is an arithmetic number, because the mean of its divisors is an integer number (153002304).

Almost surely, 220323386720 is an apocalyptic number.

20323386720 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 20323386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064663552).

20323386720 is an abundant number, since it is smaller than the sum of its proper divisors (67805940384).

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

20323386720 is a wasteful number, since it uses less digits than its factorization.

20323386720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20323386720 in words is "twenty billion, three hundred twenty-three million, three hundred eighty-six thousand, seven hundred twenty".