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99834482304 = 2732738314303
BaseRepresentation
bin101110011111010011…
…0010100111010000000
3100112200122012011122200
41130332212110322000
53113430111413204
6113510251233200
710132664045424
oct1347646247200
9315618164580
1099834482304
1139380a65217
1217422448800
13955043968b
144b91096b84
1528e4942539
hex173e994e80

99834482304 has 192 divisors, whose sum is σ = 294748796160. Its totient is φ = 32424579072.

The previous prime is 99834482201. The next prime is 99834482317. The reversal of 99834482304 is 40328443899.

99834482304 is a `hidden beast` number, since 99 + 83 + 448 + 2 + 30 + 4 = 666.

99834482304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6972817 + ... + 6987119.

It is an arithmetic number, because the mean of its divisors is an integer number (1535149980).

Almost surely, 299834482304 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 99834482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147374398080).

99834482304 is an abundant number, since it is smaller than the sum of its proper divisors (194914313856).

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

99834482304 is a wasteful number, since it uses less digits than its factorization.

99834482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14479 (or 14464 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 99834482304 in words is "ninety-nine billion, eight hundred thirty-four million, four hundred eighty-two thousand, three hundred four".