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12218428369 = 72157912
BaseRepresentation
bin10110110000100011…
…00110101111010001
31011112112010110202001
423120101212233101
5200010404201434
65340231154001
7611532633100
oct133021465721
934475113661
1012218428369
1151aaa91094
12244bb15901
1311c94a1a94
1483ca3a037
154b7a1a114
hex2d8466bd1

12218428369 has 9 divisors (see below), whose sum is σ = 14214173961. Its totient is φ = 10472275380.

The previous prime is 12218428351. The next prime is 12218428373. The reversal of 12218428369 is 96382481221.

The square root of 12218428369 is 110537.

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

12218428369 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 12218428369 - 217 = 12218297297 is a prime.

It is a super-2 number, since 2×122184283692 (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 (12218428379) 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 8 ways as a sum of consecutive naturals, for example, 765864 + ... + 781654.

Almost surely, 212218428369 is an apocalyptic number.

12218428369 is the 110537-th square number.

12218428369 is the 55269-th centered octagonal number.

It is an amenable number.

12218428369 is a deficient number, since it is larger than the sum of its proper divisors (1995745592).

12218428369 is an frugal number, since it uses more digits than its factorization.

12218428369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31596 (or 15798 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The spelling of 12218428369 in words is "twelve billion, two hundred eighteen million, four hundred twenty-eight thousand, three hundred sixty-nine".

Divisors: 1 7 49 15791 110537 773759 249355681 1745489767 12218428369