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9223381826820 = 223257219509108131
BaseRepresentation
bin1000011000110111110001…
…1001011011110100000100
31012122202011100010101100200
42012031330121123310010
52202103441221424240
631341055122210500
71641236666653500
oct206157431336404
935582140111320
109223381826820
112a36683651947
12104b677ab3a30
1351b9b83b8845
1423c5b2289300
1510edc4734930
hex8637c65bd04

9223381826820 has 432 divisors, whose sum is σ = 34325897860800. Its totient is φ = 1993301291520.

The previous prime is 9223381826819. The next prime is 9223381826849. The reversal of 9223381826820 is 286281833229.

9223381826820 is a `hidden beast` number, since 9 + 22 + 338 + 1 + 8 + 268 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85244155 + ... + 85352285.

It is an arithmetic number, because the mean of its divisors is an integer number (79458096900).

Almost surely, 29223381826820 is an apocalyptic number.

9223381826820 is a gapful number since it is divisible by the number (90) 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 9223381826820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162948930400).

9223381826820 is an abundant number, since it is smaller than the sum of its proper divisors (25102516033980).

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

9223381826820 is a wasteful number, since it uses less digits than its factorization.

9223381826820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108688 (or 108676 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 9223381826820 in words is "nine trillion, two hundred twenty-three billion, three hundred eighty-one million, eight hundred twenty-six thousand, eight hundred twenty".