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13549444435849 = 7269127612
BaseRepresentation
bin1100010100101011100111…
…0100101000111110001001
31202222022111002010211101211
43011022321310220332021
53233443230233421344
644452310121413121
72565625602266200
oct305127164507611
952868432124354
1013549444435849
114354318172713
121629b8163a1a1
13773926737c0a
1434bb21c7c237
151876baebd334
hexc52b9d28f89

13549444435849 has 27 divisors (see below), whose sum is σ = 15805210444263. Its totient is φ = 11581763104800.

The previous prime is 13549444435841. The next prime is 13549444435871. The reversal of 13549444435849 is 94853444494531.

It is a happy number.

The square root of 13549444435849 is 3680957.

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

13549444435849 is digitally balanced in base 2, 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., 35586181449 + 13513858254400 = 188643^2 + 3676120^2 .

It is not a de Polignac number, because 13549444435849 - 23 = 13549444435841 is a prime.

It is a super-3 number, since 3×135494444358493 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13549444435841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17804788629 + ... + 17804789389.

Almost surely, 213549444435849 is an apocalyptic number.

13549444435849 is the 3680957-th square number.

13549444435849 is the 1840479-th centered octagonal number.

It is an amenable number.

13549444435849 is a deficient number, since it is larger than the sum of its proper divisors (2255766008414).

13549444435849 is an frugal number, since it uses more digits than its factorization.

13549444435849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 1459 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 67.

The spelling of 13549444435849 in words is "thirteen trillion, five hundred forty-nine billion, four hundred forty-four million, four hundred thirty-five thousand, eight hundred forty-nine".

Divisors: 1 7 49 691 761 4837 5327 33859 37289 477481 525851 579121 3342367 3680957 4053847 23396569 25766699 28376929 363363041 400172611 2543541287 2801208277 17804789009 19608457939 276519274201 1935634919407 13549444435849