Search a number
-
+
12796584471 = 3311172149087
BaseRepresentation
bin10111110101011110…
…00110001000010111
31020000211000211211000
423322233012020113
5202201411200341
65513443114343
7632053113306
oct137257061027
936024024730
1012796584471
11547737a350
1225916729b3
13128c1bcb98
1489573843d
154ed6708b6
hex2fabc6217

12796584471 has 48 divisors (see below), whose sum is σ = 21969607680. Its totient is φ = 7299250560.

The previous prime is 12796584467. The next prime is 12796584473. The reversal of 12796584471 is 17448569721.

12796584471 is a `hidden beast` number, since 1 + 2 + 7 + 96 + 5 + 84 + 471 = 666.

It is not a de Polignac number, because 12796584471 - 22 = 12796584467 is a prime.

It is a super-3 number, since 3×127965844713 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12796584473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11290 + ... + 160376.

It is an arithmetic number, because the mean of its divisors is an integer number (457700160).

Almost surely, 212796584471 is an apocalyptic number.

12796584471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12796584471 is a deficient number, since it is larger than the sum of its proper divisors (9173023209).

12796584471 is a wasteful number, since it uses less digits than its factorization.

12796584471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149141 (or 149118 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 12796584471 in words is "twelve billion, seven hundred ninety-six million, five hundred eighty-four thousand, four hundred seventy-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 289 297 459 561 867 1683 2601 3179 5049 7803 9537 28611 85833 149087 447261 1341783 1639957 2534479 4025349 4919871 7603437 14759613 22810311 27879269 43086143 44278839 68430933 83637807 129258429 250913421 387775287 473947573 752740263 1163325861 1421842719 4265528157 12796584471