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13446025849 = 1721923592
BaseRepresentation
bin11001000010111001…
…00001001001111001
31021201002001212220101
430201130201021321
5210014140311344
610102122555401
7654130222354
oct144134411171
937632055811
1013446025849
11577aa27263
122733068b61
131363909819
14917ab129b
1553a6a79d4
hex321721279

13446025849 has 27 divisors (see below), whose sum is σ = 15116932047. Its totient is φ = 11955630528.

The previous prime is 13446025847. The next prime is 13446025907. The reversal of 13446025849 is 94852064431.

The square root of 13446025849 is 115957.

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

It can be written as a sum of positive squares in only one way, i.e., 10468359225 + 2977666624 = 102315^2 + 54568^2 .

It is not a de Polignac number, because 13446025849 - 21 = 13446025847 is a prime.

It is a super-2 number, since 2×134460258492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13446025799 and 13446025808.

It is not an unprimeable number, because it can be changed into a prime (13446025841) 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, 37453932 + ... + 37454290.

Almost surely, 213446025849 is an apocalyptic number.

13446025849 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13446025849 is the 115957-th square number.

13446025849 is the 57979-th centered octagonal number.

It is an amenable number.

13446025849 is a deficient number, since it is larger than the sum of its proper divisors (1670906198).

13446025849 is an frugal number, since it uses more digits than its factorization.

13446025849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 13446025849 in words is "thirteen billion, four hundred forty-six million, twenty-five thousand, eight hundred forty-nine".

Divisors: 1 17 19 289 323 359 361 5491 6103 6137 6821 103751 104329 115957 128881 129599 1971269 2190977 2203183 2448739 37246609 37454111 41628563 46526041 707685571 790942697 13446025849