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9797634289 = 3141032
BaseRepresentation
bin10010001111111110…
…00000100011110001
3221021210222101120001
421013333000203301
5130031143244124
64300113150001
7464536342312
oct110777004361
927253871501
109797634289
114178566723
121a9525b301
13c01ab5451
1468d326609
153c5237b44
hex247fc08f1

9797634289 has 15 divisors (see below), whose sum is σ = 10223469465. Its totient is φ = 9389527380.

The previous prime is 9797634269. The next prime is 9797634307. The reversal of 9797634289 is 9824367979.

The square root of 9797634289 is 98983.

It is a perfect power (a square), and thus also a powerful number.

9797634289 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 9797634289 - 29 = 9797633777 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9797634289.

It is not an unprimeable number, because it can be changed into a prime (9797634229) 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 14 ways as a sum of consecutive naturals, for example, 95122612 + ... + 95122714.

It is an arithmetic number, because the mean of its divisors is an integer number (681564631).

Almost surely, 29797634289 is an apocalyptic number.

9797634289 is the 98983-rd square number.

9797634289 is the 49492-nd centered octagonal number.

It is an amenable number.

9797634289 is a deficient number, since it is larger than the sum of its proper divisors (425835176).

9797634289 is an frugal number, since it uses more digits than its factorization.

9797634289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 134 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 64.

The cubic root of 9797634289 is about 2139.8027512755.

Multiplying 9797634289 by its sum of digits (64), we get a square (627048594496 = 7918642).

The spelling of 9797634289 in words is "nine billion, seven hundred ninety-seven million, six hundred thirty-four thousand, two hundred eighty-nine".

Divisors: 1 31 103 961 3193 10609 29791 98983 328879 923521 3068473 10195249 95122663 316052719 9797634289