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9982828791 = 3213176182279
BaseRepresentation
bin10010100110000010…
…11110000011110111
3221202201110020122200
421103001132003313
5130421101010131
64330330355543
7502245434055
oct112301360367
927681406580
109982828791
114263057031
121b2728bbb3
13c312877b0
146a9b731d5
153d661a2e6
hex25305e0f7

9982828791 has 48 divisors (see below), whose sum is σ = 16712055360. Its totient is φ = 5687055360.

The previous prime is 9982828781. The next prime is 9982828819. The reversal of 9982828791 is 1978282899.

9982828791 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9982828791 - 213 = 9982820599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982828781) 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 47 ways as a sum of consecutive naturals, for example, 80190 + ... + 162468.

It is an arithmetic number, because the mean of its divisors is an integer number (348167820).

Almost surely, 29982828791 is an apocalyptic number.

9982828791 is a deficient number, since it is larger than the sum of its proper divisors (6729226569).

9982828791 is a wasteful number, since it uses less digits than its factorization.

9982828791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82376 (or 82373 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The square root of 9982828791 is about 99914.1070670203. The cubic root of 9982828791 is about 2153.2008419287.

The spelling of 9982828791 in words is "nine billion, nine hundred eighty-two million, eight hundred twenty-eight thousand, seven hundred ninety-one".

Divisors: 1 3 9 13 17 39 51 61 117 153 183 221 549 663 793 1037 1989 2379 3111 7137 9333 13481 40443 82279 121329 246837 740511 1069627 1398743 3208881 4196229 5019019 9626643 12588687 15057057 18183659 45171171 54550977 65247247 85323323 163652931 195741741 255969969 587225223 767909907 1109203199 3327609597 9982828791