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20909752320 = 21535192239
BaseRepresentation
bin10011011110010100…
…011000000000000000
31222222020101110211010
4103132110120000000
5320310344033240
613334504320520
71340106651012
oct233624300000
958866343733
1020909752320
118960012446
124076773140
131c83007212
1410250601b2
15825a72280
hex4de518000

20909752320 has 256 divisors, whose sum is σ = 70463232000. Its totient is φ = 5280104448.

The previous prime is 20909752291. The next prime is 20909752333. The reversal of 20909752320 is 2325790902.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9337761 + ... + 9339999.

It is an arithmetic number, because the mean of its divisors is an integer number (275247000).

Almost surely, 220909752320 is an apocalyptic number.

20909752320 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 20909752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35231616000).

20909752320 is an abundant number, since it is smaller than the sum of its proper divisors (49553479680).

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

20909752320 is an equidigital number, since it uses as much as digits as its factorization.

20909752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 20909752320 in words is "twenty billion, nine hundred nine million, seven hundred fifty-two thousand, three hundred twenty".