Search a number
-
+
12969786646881 = 344001512
BaseRepresentation
bin1011110010111100001110…
…0001101010000101100001
31200220220021201202011110000
42330233003201222011201
53144444110340200011
643330123203330213
72506015255341651
oct274570341520541
950826251664400
1012969786646881
114150501493379
12155576b380969
1373107934218c
1432ba53520361
15177591e67356
hexbcbc386a161

12969786646881 has 15 divisors (see below), whose sum is σ = 19374667977313. Its totient is φ = 8646502823100.

The previous prime is 12969786646849. The next prime is 12969786646889. The reversal of 12969786646881 is 18864668796921.

The square root of 12969786646881 is 3601359.

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

12969786646881 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 9 + 78 + 6 + 6 + 468 + 81 = 666.

It is not a de Polignac number, because 12969786646881 - 25 = 12969786646849 is a prime.

It is a super-2 number, since 2×129697866468812 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12969786646881.

It is not an unprimeable number, because it can be changed into a prime (12969786646889) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32212156 + ... + 32612306.

Almost surely, 212969786646881 is an apocalyptic number.

12969786646881 is the 3601359-th square number.

12969786646881 is the 1800680-th centered octagonal number.

It is an amenable number.

12969786646881 is a deficient number, since it is larger than the sum of its proper divisors (6404881330432).

12969786646881 is an frugal number, since it uses more digits than its factorization.

12969786646881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800314 (or 400154 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

12969786646881 divided by its sum of digits (81) gives a square (160120822801 = 4001512).

The spelling of 12969786646881 in words is "twelve trillion, nine hundred sixty-nine billion, seven hundred eighty-six million, six hundred forty-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 400151 1200453 3601359 10804077 32412231 160120822801 480362468403 1441087405209 4323262215627 12969786646881