Search a number
-
+
12705118236 = 2232532125639
BaseRepresentation
bin10111101010100100…
…01011100000011100
31012210102220212201200
423311102023200130
5202010002240421
65500414435500
7626562503016
oct136522134034
935712825650
1012705118236
11542a787418
122566b02b90
131276276755
148875291b6
154e5604726
hex2f548b81c

12705118236 has 54 divisors (see below), whose sum is σ = 32733366120. Its totient is φ = 4155099936.

The previous prime is 12705118229. The next prime is 12705118241. The reversal of 12705118236 is 63281150721.

It is a super-2 number, since 2×127051182362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12705118236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38305 + ... + 163943.

Almost surely, 212705118236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12705118236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366683060).

12705118236 is an abundant number, since it is smaller than the sum of its proper divisors (20028247884).

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

12705118236 is a wasteful number, since it uses less digits than its factorization.

12705118236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125755 (or 125697 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 12705118236 its reverse (63281150721), we get a palindrome (75986268957).

The spelling of 12705118236 in words is "twelve billion, seven hundred five million, one hundred eighteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2809 5618 8427 11236 16854 25281 33708 50562 101124 125639 251278 376917 502556 753834 1130751 1507668 2261502 4523004 6658867 13317734 19976601 26635468 39953202 59929803 79906404 119859606 239719212 352919951 705839902 1058759853 1411679804 2117519706 3176279559 4235039412 6352559118 12705118236