Search a number
-
+
13484509359876 = 22342040072
BaseRepresentation
bin1100010000111001101101…
…1000111110111100000100
31202202002212122100012010000
43010032123120332330010
53231412233344004001
644402410441401300
72561136466246662
oct304163330767404
952662778305100
1013484509359876
114329825aa1a75
12161947aa99230
1376a778731439
14348921bc7c32
15185b6a38aa86
hexc439b63ef04

13484509359876 has 45 divisors (see below), whose sum is σ = 35251343868279. Its totient is φ = 4494814420536.

The previous prime is 13484509359823. The next prime is 13484509359877. The reversal of 13484509359876 is 67895390548431.

The square root of 13484509359876 is 3672126.

It is a perfect power (a square), and thus also a powerful number.

13484509359876 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 4 + 509 + 35 + 9 + 87 + 6 = 666.

13484509359876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13484509359877) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 65996265 + ... + 66200271.

Almost surely, 213484509359876 is an apocalyptic number.

13484509359876 is the 3672126-th square number.

It is an amenable number.

13484509359876 is an abundant number, since it is smaller than the sum of its proper divisors (21766834508403).

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

13484509359876 is an frugal number, since it uses more digits than its factorization.

13484509359876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408030 (or 204012 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 13484509359876 in words is "thirteen trillion, four hundred eighty-four billion, five hundred nine million, three hundred fifty-nine thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 204007 408014 612021 816028 1224042 1836063 2448084 3672126 5508189 7344252 11016378 16524567 22032756 33049134 66098268 41618856049 83237712098 124856568147 166475424196 249713136294 374569704441 499426272588 749139408882 1123709113323 1498278817764 2247418226646 3371127339969 4494836453292 6742254679938 13484509359876