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12734445409 = 78472
BaseRepresentation
bin10111101110000100…
…00011011101100001
31012212111002212001021
423313002003131201
5202040004223114
65503343205441
7630400000000
oct136702033541
935774085037
1012734445409
115445298354
1225748a6881
13127c3743ca
1488b3a0c37
154e7e99024
hex2f7083761

12734445409 has 27 divisors (see below), whose sum is σ = 15179681457. Its totient is φ = 10682999796.

The previous prime is 12734445407. The next prime is 12734445413. The reversal of 12734445409 is 90454443721.

The square root of 12734445409 is 112847.

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

12734445409 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 12734445409 - 21 = 12734445407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12734445401) 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 26 ways as a sum of consecutive naturals, for example, 270945624 + ... + 270945670.

Almost surely, 212734445409 is an apocalyptic number.

12734445409 is the 112847-th square number.

12734445409 is the 56424-th centered octagonal number.

It is an amenable number.

12734445409 is a deficient number, since it is larger than the sum of its proper divisors (2445236048).

12734445409 is an frugal number, since it uses more digits than its factorization.

12734445409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 12734445409 in words is "twelve billion, seven hundred thirty-four million, four hundred forty-five thousand, four hundred nine".

Divisors: 1 7 47 49 329 343 2209 2303 2401 15463 16121 16807 108241 112847 117649 757687 789929 823543 5303809 5529503 5764801 37126663 38706521 259886641 270945647 1819206487 12734445409