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10443121920 = 2832571161193
BaseRepresentation
bin10011011100111010…
…10110010100000000
3222221210120120010100
421232131112110000
5132341414400140
64444132202400
7516535033410
oct115635262400
928853516110
1010443121920
114479963080
122035469400
13ca57495aa
14710d50640
15411c3d530
hex26e756500

10443121920 has 864 divisors, whose sum is σ = 46023554304. Its totient is φ = 2123366400.

The previous prime is 10443121883. The next prime is 10443121967. The reversal of 10443121920 is 2912134401.

It is a happy number.

10443121920 is a `hidden beast` number, since 1 + 0 + 443 + 1 + 219 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54109344 + ... + 54109536.

Almost surely, 210443121920 is an apocalyptic number.

10443121920 is a gapful number since it is divisible by the number (10) 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 10443121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011777152).

10443121920 is an abundant number, since it is smaller than the sum of its proper divisors (35580432384).

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

10443121920 is a wasteful number, since it uses less digits than its factorization.

10443121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10443121920 in words is "ten billion, four hundred forty-three million, one hundred twenty-one thousand, nine hundred twenty".