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9330243552 = 25367173361
BaseRepresentation
bin10001011000010000…
…00011011111100000
3220002020111111000000
420230020003133200
5123102020243202
64141455300000
7450132522150
oct105410033740
926066444000
109330243552
113a58752093
12198481a600
13b59009b96
1464721c760
153991b191c
hex22c2037e0

9330243552 has 336 divisors, whose sum is σ = 33336569952. Its totient is φ = 2508226560.

The previous prime is 9330243547. The next prime is 9330243599. The reversal of 9330243552 is 2553420339.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 2774352 + ... + 2777712.

It is an arithmetic number, because the mean of its divisors is an integer number (99215982).

Almost surely, 29330243552 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 9330243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668284976).

9330243552 is an abundant number, since it is smaller than the sum of its proper divisors (24006326400).

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

9330243552 is a wasteful number, since it uses less digits than its factorization.

9330243552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 9330243552 is about 96593.1858466217. The cubic root of 9330243552 is about 2105.2208382191.

The spelling of 9330243552 in words is "nine billion, three hundred thirty million, two hundred forty-three thousand, five hundred fifty-two".