Search a number
-
+
13259909061 = 357422727
BaseRepresentation
bin11000101100101101…
…00010011111000101
31021020002212011200000
430112112202133011
5204124014042221
610031433511513
7646410240000
oct142626423705
937202764600
1013259909061
115694966a33
1226a0872599
1313341a3749
148db0a4537
15529191e26
hex3165a27c5

13259909061 has 60 divisors (see below), whose sum is σ = 23172650592. Its totient is φ = 7576757496.

The previous prime is 13259909027. The next prime is 13259909071. The reversal of 13259909061 is 16090995231.

It is a happy number.

13259909061 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 13259909061 - 211 = 13259907013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13259908998 and 13259909016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13259909071) 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 59 ways as a sum of consecutive naturals, for example, 572080 + ... + 594806.

Almost surely, 213259909061 is an apocalyptic number.

It is an amenable number.

13259909061 is a deficient number, since it is larger than the sum of its proper divisors (9912741531).

13259909061 is an frugal number, since it uses more digits than its factorization.

13259909061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22770 (or 22737 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 13259909061 in words is "thirteen billion, two hundred fifty-nine million, nine hundred nine thousand, sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 1029 1323 1701 2401 3087 3969 7203 9261 11907 21609 22727 27783 64827 68181 83349 159089 194481 204543 477267 583443 613629 1113623 1431801 1840887 3340869 4295403 5522661 7795361 10022607 12886209 23386083 30067821 38658627 54567527 70158249 90203463 163702581 210474747 270610389 491107743 631424241 1473323229 1894272723 4419969687 13259909061