Search a number
-
+
131817820671805 = 5209569125798969
BaseRepresentation
bin11101111110001100111010…
…011000000100111100111101
3122021201122211120022101020011
4131332030322120010330331
5114234200344042444210
61144204134255423221
736523344323365102
oct3576147230047475
9567648746271204
10131817820671805
1139001695316354
121294b215524b11
1358724a08307b8
14247a033636aa9
151038d3d885d8a
hex77e33a604f3d

131817820671805 has 8 divisors (see below), whose sum is σ = 158182140857400. Its totient is φ = 105453752503296.

The previous prime is 131817820671791. The next prime is 131817820671833. The reversal of 131817820671805 is 508176028718131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14174577427396 + 117643243244409 = 3764914^2 + 10846347^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131817820671805 - 25 = 131817820671773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131817820671805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61851640 + ... + 63947329.

It is an arithmetic number, because the mean of its divisors is an integer number (19772767607175).

Almost surely, 2131817820671805 is an apocalyptic number.

It is an amenable number.

131817820671805 is a deficient number, since it is larger than the sum of its proper divisors (26364320185595).

131817820671805 is a wasteful number, since it uses less digits than its factorization.

131817820671805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126008543.

The product of its (nonzero) digits is 4515840, while the sum is 58.

The spelling of 131817820671805 in words is "one hundred thirty-one trillion, eight hundred seventeen billion, eight hundred twenty million, six hundred seventy-one thousand, eight hundred five".

Divisors: 1 5 209569 1047845 125798969 628994845 26363564134361 131817820671805