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9924343641 = 34110692
BaseRepresentation
bin10010011111000100…
…10111011101011001
3221121122101220010000
421033202113131121
5130311112444031
64320441043213
7500635346322
oct111742273531
927548356100
109924343641
1142330402a3
121b0b786509
13c2211b1b4
146a20ab449
153d14163e6
hex24f897759

9924343641 has 15 divisors (see below), whose sum is σ = 14826593551. Its totient is φ = 6615631368.

The previous prime is 9924343621. The next prime is 9924343673. The reversal of 9924343641 is 1463434299.

The square root of 9924343641 is 99621.

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

9924343641 is digitally balanced in base 3, 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 only one way, i.e., 925924041 + 8998419600 = 30429^2 + 94860^2 .

It is not a de Polignac number, because 9924343641 - 223 = 9915955033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9924343621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 891055 + ... + 902123.

Almost surely, 29924343641 is an apocalyptic number.

9924343641 is the 99621-st square number.

9924343641 is the 49811-st centered octagonal number.

It is an amenable number.

9924343641 is a deficient number, since it is larger than the sum of its proper divisors (4902249910).

9924343641 is an frugal number, since it uses more digits than its factorization.

9924343641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22150 (or 11072 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The cubic root of 9924343641 is about 2148.9877074086.

It can be divided in two parts, 99243 and 43641, that added together give a square (142884 = 3782).

The spelling of 9924343641 in words is "nine billion, nine hundred twenty-four million, three hundred forty-three thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 11069 33207 99621 298863 896589 122522761 367568283 1102704849 3308114547 9924343641