Search a number
-
+
2731625315341 = 1319113876111171
BaseRepresentation
bin100111110000000001100…
…011100111110000001101
3100200010210122221201120121
4213300001203213300031
5324223332040042331
65450520310344541
7401232136035106
oct47600143476015
910603718851517
102731625315341
11963526305a2a
123814a795b151
1316a78ba23a50
14962d60033ad
154b0c870dc11
hex27c018e7c0d

2731625315341 has 32 divisors (see below), whose sum is σ = 3124618922880. Its totient is φ = 2367167846400.

The previous prime is 2731625315329. The next prime is 2731625315401. The reversal of 2731625315341 is 1435135261372.

2731625315341 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2731625315341 - 27 = 2731625315213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731625315641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 244522686 + ... + 244533856.

It is an arithmetic number, because the mean of its divisors is an integer number (97644341340).

Almost surely, 22731625315341 is an apocalyptic number.

It is an amenable number.

2731625315341 is a deficient number, since it is larger than the sum of its proper divisors (392993607539).

2731625315341 is a wasteful number, since it uses less digits than its factorization.

2731625315341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20077.

The product of its digits is 453600, while the sum is 43.

The spelling of 2731625315341 in words is "two trillion, seven hundred thirty-one billion, six hundred twenty-five million, three hundred fifteen thousand, three hundred forty-one".

Divisors: 1 13 19 113 247 1469 2147 8761 11171 27911 113893 145223 166459 212249 989993 1262323 2163967 2759237 12869909 16410199 18809867 23984137 97869131 244528271 311793781 1272298703 1859513489 11059211803 24173675357 143769753439 210125024257 2731625315341