Search a number
-
+
271717134761321 = 177311317338329243
BaseRepresentation
bin111101110010000000010011…
…010010111111110101101001
31022122001220102022020201021122
4331302000103102333311221
5241103303142444330241
62401521043430145025
7111142625620525514
oct7562002322776551
91278056368221248
10271717134761321
1179639653a15827
12265847267b2175
13b87ca7b5b6472
144b15272755d7b
152162ebd7ea04b
hexf720134bfd69

271717134761321 has 64 divisors (see below), whose sum is σ = 296705996808192. Its totient is φ = 247895923064832.

The previous prime is 271717134761299. The next prime is 271717134761327. The reversal of 271717134761321 is 123167431717172.

It is a cyclic number.

It is not a de Polignac number, because 271717134761321 - 230 = 271716061019497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (271717134761327) 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, 9291683726 + ... + 9291712968.

It is an arithmetic number, because the mean of its divisors is an integer number (4636031200128).

Almost surely, 2271717134761321 is an apocalyptic number.

It is an amenable number.

271717134761321 is a deficient number, since it is larger than the sum of its proper divisors (24988862046871).

271717134761321 is a wasteful number, since it uses less digits than its factorization.

271717134761321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30002.

The product of its digits is 2074464, while the sum is 53.

The spelling of 271717134761321 in words is "two hundred seventy-one trillion, seven hundred seventeen billion, one hundred thirty-four million, seven hundred sixty-one thousand, three hundred twenty-one".

Divisors: 1 17 73 113 173 383 1241 1921 2941 6511 8249 12629 19549 27959 29243 43279 66259 140233 214693 332333 475303 497131 735743 1126403 1427077 2134739 3159367 3304459 4836907 5059039 7487267 11200069 24260309 36290563 53709239 56175803 82227419 86003663 127283539 190401173 241225507 369309847 546570491 571671407 817605037 1265607797 1937611937 4100833619 6278267399 9291698347 9718413919 13899285629 21515332549 32939402929 41732012711 92389369181 141445671401 218950148881 709444216087 1570619276077 2404576413817 3722152530977 15983360868313 271717134761321