Search a number
-
+
12683109348 = 22327133871523
BaseRepresentation
bin10111100111111100…
…01110001111100100
31012201220111201012200
423303332032033210
5201433333444343
65454311014500
7626204436120
oct136376161744
935656451180
1012683109348
115419314858
12255b66a430
13127183bb40
1488463a580
154e37084d3
hex2f3f8e3e4

12683109348 has 72 divisors (see below), whose sum is σ = 39458572608. Its totient is φ = 3344995008.

The previous prime is 12683109347. The next prime is 12683109433. The reversal of 12683109348 is 84390138621.

12683109348 is a `hidden beast` number, since 126 + 83 + 109 + 348 = 666.

It is a super-2 number, since 2×126831093482 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12683109347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932486 + ... + 1939037.

Almost surely, 212683109348 is an apocalyptic number.

12683109348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12683109348 is an abundant number, since it is smaller than the sum of its proper divisors (26775463260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12683109348 is a wasteful number, since it uses less digits than its factorization.

12683109348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871553 (or 3871548 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12683109348 in words is "twelve billion, six hundred eighty-three million, one hundred nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3871523 7743046 11614569 15486092 23229138 27100661 34843707 46458276 50329799 54201322 69687414 81301983 100659598 108402644 139374828 150989397 162603966 201319196 243905949 301978794 325207932 352308593 452968191 487811898 603957588 704617186 905936382 975623796 1056925779 1409234372 1811872764 2113851558 3170777337 4227703116 6341554674 12683109348