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9969326080 = 21157236047
BaseRepresentation
bin10010100100011011…
…11101100000000000
3221201210001020102021
421102031331200000
5130404121413310
64325125131224
7502022605420
oct112215754000
927653036367
109969326080
11425647426a
121b22859b14
13c2b53a81c
146a805a480
153d534e5da
hex25237d800

9969326080 has 192 divisors, whose sum is σ = 28531077120. Its totient is φ = 3268902912.

The previous prime is 9969326071. The next prime is 9969326089. The reversal of 9969326080 is 806239699.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9969326071) and next prime (9969326089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9969326089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1645617 + ... + 1651663.

It is an arithmetic number, because the mean of its divisors is an integer number (148599360).

Almost surely, 29969326080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9969326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560).

9969326080 is an abundant number, since it is smaller than the sum of its proper divisors (18561751040).

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

9969326080 is a wasteful number, since it uses less digits than its factorization.

9969326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 9969326080 is about 99846.5126081026. The cubic root of 9969326080 is about 2152.2296019586.

The spelling of 9969326080 in words is "nine billion, nine hundred sixty-nine million, three hundred twenty-six thousand, eighty".