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20320524000 = 253353726879
BaseRepresentation
bin10010111011001100…
…101001011011100000
31221110011122120112000
4102323030221123200
5313104023232000
613200215204000
71316363414130
oct227314513340
957404576460
1020320524000
118688451497
123b31376600
131bbac104ca
14daaabcac0
157dde81000
hex4bb3296e0

20320524000 has 384 divisors, whose sum is σ = 84536524800. Its totient is φ = 4644518400.

The previous prime is 20320523981. The next prime is 20320524079. The reversal of 20320524000 is 42502302.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742561 + ... + 769439.

It is an arithmetic number, because the mean of its divisors is an integer number (220147200).

Almost surely, 220320524000 is an apocalyptic number.

20320524000 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 20320524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42268262400).

20320524000 is an abundant number, since it is smaller than the sum of its proper divisors (64216000800).

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

20320524000 is a wasteful number, since it uses less digits than its factorization.

20320524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26920 (or 26896 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The spelling of 20320524000 in words is "twenty billion, three hundred twenty million, five hundred twenty-four thousand".