Search a number
-
+
181340363178 = 232136581117757
BaseRepresentation
bin1010100011100010111…
…0100101100110101010
3122100001220212220212100
42220320232211212222
510432341113110203
6215150121154230
716046532440322
oct2507056454652
9570056786770
10181340363178
116a9a69a8947
122b18a62b976
131413c542460
148ac3c26282
154ab521cea3
hex2a38ba59aa

181340363178 has 48 divisors (see below), whose sum is σ = 423195403176. Its totient is φ = 55788082560.

The previous prime is 181340363147. The next prime is 181340363201. The reversal of 181340363178 is 871363043181.

181340363178 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 4 + 0 + 3 + 631 + 7 + 8 = 666.

181340363178 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39861320409 + 141479042769 = 199653^2 + 376137^2 .

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, 1481076 + ... + 1598832.

Almost surely, 2181340363178 is an apocalyptic number.

181340363178 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

181340363178 is an abundant number, since it is smaller than the sum of its proper divisors (241855039998).

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

181340363178 is a wasteful number, since it uses less digits than its factorization.

181340363178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124359 (or 124356 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 181340363178 in words is "one hundred eighty-one billion, three hundred forty million, three hundred sixty-three thousand, one hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 6581 13162 19743 39486 59229 85553 117757 118458 171106 235514 256659 353271 513318 706542 769977 1059813 1530841 1539954 2119626 3061682 4592523 9185046 13777569 27555138 774958817 1549917634 2324876451 4649752902 6974629353 10074464621 13949258706 20148929242 30223393863 60446787726 90670181589 181340363178