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9204793344 = 21735172
BaseRepresentation
bin10001001001010011…
…00000000000000000
3212202111102221200000
420210221200000000
5122322411341334
64121214400000
7444050311125
oct104451400000
925674387600
109204793344
1139a395852a
12194a800000
13b390252a6
146346c474c
1538d181299
hex224a60000

9204793344 has 324 divisors, whose sum is σ = 29293955964. Its totient is φ = 2887778304.

The previous prime is 9204793321. The next prime is 9204793421. The reversal of 9204793344 is 4433974029.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 9204793344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 541458424 + ... + 541458440.

Almost surely, 29204793344 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 9204793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646977982).

9204793344 is an abundant number, since it is smaller than the sum of its proper divisors (20089162620).

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

9204793344 is an frugal number, since it uses more digits than its factorization.

9204793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 9204793344 is about 95941.6142453315. The cubic root of 9204793344 is about 2095.7429515981.

The spelling of 9204793344 in words is "nine billion, two hundred four million, seven hundred ninety-three thousand, three hundred forty-four".