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20237731920 = 24325718792137
BaseRepresentation
bin10010110110010000…
…110100100001010000
31221020101212022010200
4102312100310201100
5312421324410140
613144100455200
71314336611610
oct226620644120
957211768120
1020237731920
11864574358a
123b096aa500
131ba6a13303
14d9dacaa40
157d6a7a030
hex4b6434850

20237731920 has 240 divisors, whose sum is σ = 77752047360. Its totient is φ = 4621142016.

The previous prime is 20237731909. The next prime is 20237731939. The reversal of 20237731920 is 2913773202.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9469092 + ... + 9471228.

It is an arithmetic number, because the mean of its divisors is an integer number (323966864).

Almost surely, 220237731920 is an apocalyptic number.

20237731920 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 20237731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38876023680).

20237731920 is an abundant number, since it is smaller than the sum of its proper divisors (57514315440).

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

20237731920 is a wasteful number, since it uses less digits than its factorization.

20237731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 20237731920 in words is "twenty billion, two hundred thirty-seven million, seven hundred thirty-one thousand, nine hundred twenty".