Search a number
-
+
12032132346 = 23213388113249
BaseRepresentation
bin10110011010010101…
…11100010011111010
31011001112120122122100
423031022330103322
5144120211213341
65305534204230
7604111303023
oct131512742372
934045518570
1012032132346
115114909133
1223b9653676
131199a05250
14821dc3c4a
154a64bb3b6
hex2cd2bc4fa

12032132346 has 48 divisors (see below), whose sum is σ = 28084329000. Its totient is φ = 3700961280.

The previous prime is 12032132339. The next prime is 12032132383. The reversal of 12032132346 is 64323123021.

12032132346 is a `hidden beast` number, since 12 + 0 + 321 + 323 + 4 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7654325121 + 4377807225 = 87489^2 + 66165^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 901530 + ... + 914778.

Almost surely, 212032132346 is an apocalyptic number.

12032132346 is an abundant number, since it is smaller than the sum of its proper divisors (16052196654).

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

12032132346 is a wasteful number, since it uses less digits than its factorization.

12032132346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12032132346 its reverse (64323123021), we get a palindrome (76355255367).

The spelling of 12032132346 in words is "twelve billion, thirty-two million, one hundred thirty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3881 7762 11643 13249 23286 26498 34929 39747 50453 69858 79494 100906 119241 151359 172237 238482 302718 344474 454077 516711 908154 1033422 1550133 3100266 51419369 102838738 154258107 308516214 462774321 668451797 925548642 1336903594 2005355391 4010710782 6016066173 12032132346