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9811688805 = 3251712825737
BaseRepresentation
bin10010010001101001…
…00111110101100101
3221022210102102201200
421020310213311211
5130043243020210
64301334313113
7465066656502
oct111064476545
927283372650
109811688805
114185496026
121a99ab8799
13c04996629
146911444a9
153c65b20c0
hex248d27d65

9811688805 has 24 divisors (see below), whose sum is σ = 18007336152. Its totient is φ = 4925082624.

The previous prime is 9811688801. The next prime is 9811688857. The reversal of 9811688805 is 5088861189.

9811688805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3696761601 + 6114927204 = 60801^2 + 78198^2 .

It is not a de Polignac number, because 9811688805 - 22 = 9811688801 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9811688801) 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 23 ways as a sum of consecutive naturals, for example, 6412104 + ... + 6413633.

It is an arithmetic number, because the mean of its divisors is an integer number (750305673).

Almost surely, 29811688805 is an apocalyptic number.

It is an amenable number.

9811688805 is a deficient number, since it is larger than the sum of its proper divisors (8195647347).

9811688805 is a wasteful number, since it uses less digits than its factorization.

9811688805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825765 (or 12825762 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The square root of 9811688805 is about 99053.9691531844. The cubic root of 9811688805 is about 2140.8254309153.

The spelling of 9811688805 in words is "nine billion, eight hundred eleven million, six hundred eighty-eight thousand, eight hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 12825737 38477211 64128685 115431633 192386055 218037529 577158165 654112587 1090187645 1962337761 3270562935 9811688805