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20943820800 = 2113252743151
BaseRepresentation
bin10011100000010110…
…010101100000000000
32000001121111022222200
4103200112111200000
5320343104231200
613342122433200
71341002353020
oct234026254000
960047438880
1020943820800
118978271611
124086062800
131c8a0a4c96
1410297aba80
15828a51800
hex4e0595800

20943820800 has 864 divisors, whose sum is σ = 88296848640. Its totient is φ = 4644864000.

The previous prime is 20943820789. The next prime is 20943820829. The reversal of 20943820800 is 802834902.

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138700725 + ... + 138700875.

Almost surely, 220943820800 is an apocalyptic number.

20943820800 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 20943820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44148424320).

20943820800 is an abundant number, since it is smaller than the sum of its proper divisors (67353027840).

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

20943820800 is a wasteful number, since it uses less digits than its factorization.

20943820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20943820800 in words is "twenty billion, nine hundred forty-three million, eight hundred twenty thousand, eight hundred".