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13216721296 = 244127012
BaseRepresentation
bin11000100111100011…
…10010100110010000
31021010002121000012011
430103301302212100
5204031440040141
610023252112304
7645344164102
oct142361624620
937102530164
1013216721296
115672549369
12268a305694
131328261c5c
148d5461572
155254b0881
hex313c72990

13216721296 has 45 divisors (see below), whose sum is σ = 26284697539. Its totient is φ = 6437984000.

The previous prime is 13216721291. The next prime is 13216721369. The reversal of 13216721296 is 69212761231.

It is a happy number.

The square root of 13216721296 is 114964.

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

It can be written as a sum of positive squares in 4 ways, for example, as 329930896 + 12886790400 = 18164^2 + 113520^2 .

It is a super-2 number, since 2×132167212962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13216721291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18853746 + ... + 18854446.

Almost surely, 213216721296 is an apocalyptic number.

13216721296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13216721296 is the 114964-th square number.

It is an amenable number.

13216721296 is a deficient number, since it is larger than the sum of its proper divisors (13067976243).

13216721296 is an frugal number, since it uses more digits than its factorization.

13216721296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 744 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The spelling of 13216721296 in words is "thirteen billion, two hundred sixteen million, seven hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 701 1402 1681 2804 3362 5608 6724 11216 13448 26896 28741 57482 114964 229928 459856 491401 982802 1178381 1965604 2356762 3931208 4713524 7862416 9427048 18854096 20147441 40294882 80589764 161179528 322359056 826045081 1652090162 3304180324 6608360648 13216721296