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9883082368 = 271031395393
BaseRepresentation
bin10010011010001001…
…11101111010000000
3221111202202121021201
421031010331322000
5130220032113433
64312404430544
7466624546135
oct111504757200
927452677251
109883082368
114211819075
121ab99a8454
13c16702543
1469a80a58c
153cc9b5a7d
hex24d13de80

9883082368 has 64 divisors (see below), whose sum is σ = 20026843200. Its totient is φ = 4857458688.

The previous prime is 9883082357. The next prime is 9883082371. The reversal of 9883082368 is 8632803889.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1829880 + ... + 1835272.

It is an arithmetic number, because the mean of its divisors is an integer number (312919425).

Almost surely, 29883082368 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 9883082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013421600).

9883082368 is an abundant number, since it is smaller than the sum of its proper divisors (10143760832).

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

9883082368 is a wasteful number, since it uses less digits than its factorization.

9883082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The square root of 9883082368 is about 99413.6930608656. The cubic root of 9883082368 is about 2146.0053729078.

The spelling of 9883082368 in words is "nine billion, eight hundred eighty-three million, eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 139 206 278 412 556 824 1112 1648 2224 3296 4448 5393 6592 8896 10786 13184 14317 17792 21572 28634 43144 57268 86288 114536 172576 229072 345152 458144 555479 690304 749627 916288 1110958 1499254 1832576 2221916 2998508 4443832 5997016 8887664 11994032 17775328 23988064 35550656 47976128 71101312 77211581 95952256 154423162 308846324 617692648 1235385296 2470770592 4941541184 9883082368