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13771678869 = 32131737187133
BaseRepresentation
bin11001101001101101…
…10010010010010101
31022112202211202212100
430310312302102111
5211201022210434
610154314512313
7665163224154
oct146466622225
938482752770
1013771678869
115927832193
122804135699
1313b6219b10
1494904159b
15559082699
hex334db2495

13771678869 has 48 divisors (see below), whose sum is σ = 23295937392. Its totient is φ = 7760738304.

The previous prime is 13771678867. The next prime is 13771678873. The reversal of 13771678869 is 96887617731.

13771678869 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 8 ways, for example, as 97416900 + 13674261969 = 9870^2 + 116937^2 .

It is not a de Polignac number, because 13771678869 - 21 = 13771678867 is a prime.

It is a super-2 number, since 2×137716788692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13771678861) 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 47 ways as a sum of consecutive naturals, for example, 19974 + ... + 167159.

It is an arithmetic number, because the mean of its divisors is an integer number (485332029).

Almost surely, 213771678869 is an apocalyptic number.

It is an amenable number.

13771678869 is a deficient number, since it is larger than the sum of its proper divisors (9524258523).

13771678869 is a wasteful number, since it uses less digits than its factorization.

13771678869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187206 (or 187203 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 13771678869 in words is "thirteen billion, seven hundred seventy-one million, six hundred seventy-eight thousand, eight hundred sixty-nine".

Divisors: 1 3 9 13 17 37 39 51 111 117 153 221 333 481 629 663 1443 1887 1989 4329 5661 8177 24531 73593 187133 561399 1684197 2432729 3181261 6923921 7298187 9543783 20771763 21894561 28631349 41356393 62315289 90010973 117706657 124069179 270032919 353119971 372207537 810098757 1059359913 1530186541 4590559623 13771678869