Search a number
-
+
274131161131472 = 2427496232520033
BaseRepresentation
bin111110010101001000100010…
…011110110010100111010000
31022221121200102221202100212022
4332111020202132302213100
5241412331104222201342
62411010041125151012
7111512215503233201
oct7625104236624720
91287550387670768
10274131161131472
117a38a410968457
12268b455725b468
13b9c65c439b778
144b9a03a1875a8
1521a5ba97b29d2
hexf952227b29d0

274131161131472 has 20 divisors (see below), whose sum is σ = 531322332898500. Its totient is φ = 137015720383488.

The previous prime is 274131161131441. The next prime is 274131161131549.

274131161131472 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 161369359359376 + 112761801772096 = 12703124^2 + 10618936^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3116216033 + ... + 3116304000.

It is an arithmetic number, because the mean of its divisors is an integer number (26566116644925).

Almost surely, 2274131161131472 is an apocalyptic number.

It is an amenable number.

274131161131472 is a deficient number, since it is larger than the sum of its proper divisors (257191171767028).

274131161131472 is a wasteful number, since it uses less digits than its factorization.

274131161131472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232522790 (or 6232522784 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The spelling of 274131161131472 in words is "two hundred seventy-four trillion, one hundred thirty-one billion, one hundred sixty-one million, one hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 2749 5498 10996 21992 43984 6232520033 12465040066 24930080132 49860160264 99720320528 17133197570717 34266395141434 68532790282868 137065580565736 274131161131472