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9484330464 = 25327173179113
BaseRepresentation
bin10001101010100111…
…10110010111100000
3220110222102220111200
420311103312113200
5123410442033324
64205042041200
7454013323140
oct106523662740
926428386450
109484330464
114027725944
121a08349200
13b81c0a07b
1465d88c920
153a799bec9
hex2354f65e0

9484330464 has 576 divisors, whose sum is σ = 34418442240. Its totient is φ = 2415329280.

The previous prime is 9484330421. The next prime is 9484330469. The reversal of 9484330464 is 4640334849.

It is a happy number.

9484330464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9484330469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83932072 + ... + 83932184.

It is an arithmetic number, because the mean of its divisors is an integer number (59754240).

Almost surely, 29484330464 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 9484330464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209221120).

9484330464 is an abundant number, since it is smaller than the sum of its proper divisors (24934111776).

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

9484330464 is a wasteful number, since it uses less digits than its factorization.

9484330464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 9484330464 is about 97387.5272506700. The cubic root of 9484330464 is about 2116.7467058773.

The spelling of 9484330464 in words is "nine billion, four hundred eighty-four million, three hundred thirty thousand, four hundred sixty-four".