Search a number
-
+
165239870544341 = 5319726958832929
BaseRepresentation
bin100101100100100011100111…
…110010010101100111010101
3210200001202222200120100212222
4211210203213302111213111
5133124242223324404331
61343234052031552125
746543121014055165
oct4544434762254725
9720052880510788
10165239870544341
114871792114502a
121664871638b645
13712808c3a2318
142cb391c2c25a5
15141840547cb7b
hex9648e7c959d5

165239870544341 has 16 divisors (see below), whose sum is σ = 169841255641200. Its totient is φ = 160699554183168.

The previous prime is 165239870544319. The next prime is 165239870544377. The reversal of 165239870544341 is 143445078932561.

It can be written as a sum of positive squares in 8 ways, for example, as 3829731580900 + 161410138963441 = 1956970^2 + 12704729^2 .

It is a cyclic number.

It is not a de Polignac number, because 165239870544341 - 214 = 165239870527957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165239870544841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26607836 + ... + 32225093.

It is an arithmetic number, because the mean of its divisors is an integer number (10615078477575).

It is a 1-persistent number, because it is pandigital, but 2⋅165239870544341 = 330479741088682 is not.

Almost surely, 2165239870544341 is an apocalyptic number.

It is an amenable number.

165239870544341 is a deficient number, since it is larger than the sum of its proper divisors (4601385096859).

165239870544341 is a wasteful number, since it uses less digits than its factorization.

165239870544341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58833448.

The product of its (nonzero) digits is 87091200, while the sum is 62.

The spelling of 165239870544341 in words is "one hundred sixty-five trillion, two hundred thirty-nine billion, eight hundred seventy million, five hundred forty-four thousand, three hundred forty-one".

Divisors: 1 53 197 269 10441 14257 52993 2808629 58832929 3118145237 11590087013 15826057901 614274611689 838781068753 3117733406497 165239870544341