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9066540384 = 25331119233759
BaseRepresentation
bin10000111000110100…
…00110110101100000
3212101212021222021000
420130122012311200
5122032013243014
64055355232000
7440451215226
oct103432066540
925355258230
109066540384
113932909a90
121910448600
13b164aa1c5
146201b6b16
15380e72509
hex21c686d60

9066540384 has 768 divisors, whose sum is σ = 33094656000. Its totient is φ = 2381322240.

The previous prime is 9066540383. The next prime is 9066540397. The reversal of 9066540384 is 4830456609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9066540383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153670147 + ... + 153670205.

It is an arithmetic number, because the mean of its divisors is an integer number (43092000).

Almost surely, 29066540384 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 9066540384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328000).

9066540384 is an abundant number, since it is smaller than the sum of its proper divisors (24028115616).

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

9066540384 is a wasteful number, since it uses less digits than its factorization.

9066540384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9066540384 is about 95218.3825949590. The cubic root of 9066540384 is about 2085.1975217872.

The spelling of 9066540384 in words is "nine billion, sixty-six million, five hundred forty thousand, three hundred eighty-four".