Search a number
-
+
131736864246 = 231331103547967
BaseRepresentation
bin111101010110000100…
…0010000010111110110
3110121000222011002110020
41322230020100113312
54124244114123441
6140304042110010
712342363604341
oct1725410202766
9417028132406
10131736864246
1150962030a29
12216464ab306
13c56598a560
14653a029458
153660599e66
hex1eac2105f6

131736864246 has 128 divisors (see below), whose sum is σ = 296584544256. Its totient is φ = 38734899840.

The previous prime is 131736864187. The next prime is 131736864247. The reversal of 131736864246 is 642468637131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131736864247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136232055 + ... + 136233021.

It is an arithmetic number, because the mean of its divisors is an integer number (2317066752).

Almost surely, 2131736864246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131736864246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148292272128).

131736864246 is an abundant number, since it is smaller than the sum of its proper divisors (164847680010).

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

131736864246 is a wasteful number, since it uses less digits than its factorization.

131736864246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666.

The product of its digits is 3483648, while the sum is 51.

The spelling of 131736864246 in words is "one hundred thirty-one billion, seven hundred thirty-six million, eight hundred sixty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 103 186 206 309 403 547 618 806 967 1094 1209 1339 1641 1934 2418 2678 2901 3193 3282 4017 5802 6386 7111 8034 9579 12571 14222 16957 19158 21333 25142 29977 33914 37713 41509 42666 50871 56341 59954 75426 83018 89931 99601 101742 112682 124527 169023 179862 199202 220441 249054 298803 338046 389701 440882 528949 597606 661323 732433 779402 1057898 1169103 1294813 1322646 1464866 1586847 1746571 2197299 2338206 2589626 3087631 3173694 3493142 3884439 4394598 5239713 6175262 6876337 7768878 9262893 10479426 13752674 16397419 18525786 20629011 22705423 32794838 40139203 41258022 45410846 49192257 54481747 68116269 80278406 98384514 108963494 120417609 136232538 163445241 213166447 240835218 326890482 426332894 639499341 708262711 1278998682 1416525422 1688934157 2124788133 3377868314 4249576266 5066802471 10133604942 21956144041 43912288082 65868432123 131736864246