Search a number
-
+
12773680677 = 3217192231269
BaseRepresentation
bin10111110010101111…
…01110011000100101
31012222012221012201100
423321113232120211
5202130030240202
65511304150313
7631354331352
oct137127563045
935865835640
1012773680677
11546545639a
122585a68399
131287530b44
14892695629
154eb64941c
hex2f95ee625

12773680677 has 36 divisors (see below), whose sum is σ = 20618645580. Its totient is φ = 7592990976.

The previous prime is 12773680627. The next prime is 12773680691. The reversal of 12773680677 is 77608637721.

12773680677 is a `hidden beast` number, since 1 + 277 + 368 + 0 + 6 + 7 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9634207716 + 3139472961 = 98154^2 + 56031^2 .

It is not a de Polignac number, because 12773680677 - 224 = 12756903461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12773680627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60402 + ... + 170867.

It is an arithmetic number, because the mean of its divisors is an integer number (572740155).

Almost surely, 212773680677 is an apocalyptic number.

12773680677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12773680677 is a deficient number, since it is larger than the sum of its proper divisors (7844964903).

12773680677 is a wasteful number, since it uses less digits than its factorization.

12773680677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231330 (or 231308 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 12773680677 in words is "twelve billion, seven hundred seventy-three million, six hundred eighty thousand, six hundred seventy-seven".

Divisors: 1 3 9 17 19 51 57 153 171 323 361 969 1083 2907 3249 6137 18411 55233 231269 693807 2081421 3931573 4394111 11794719 13182333 35384157 39546999 74699887 83488109 224099661 250464327 672298983 751392981 1419297853 4257893559 12773680677