Search a number
-
+
272443285521 = 32112158172
BaseRepresentation
bin1111110110111011100…
…0101010000000010001
3222001020001002220000100
43331232320222000101
513430430440114041
6325054141043013
725453253501031
oct3755670520021
9861201086010
10272443285521
11a55a714a900
1244974856469
131c8ca9c95b4
14d2873c38c1
15714830b6b6
hex3f6ee2a011

272443285521 has 27 divisors (see below), whose sum is σ = 432584227803. Its totient is φ = 165106703520.

The previous prime is 272443285337. The next prime is 272443285531. The reversal of 272443285521 is 125582344272.

The square root of 272443285521 is 521961.

It is a perfect power (a square), and thus also a powerful number.

272443285521 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 43 + 2 + 85 + 521 = 666.

272443285521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 242906051025 + 29537234496 = 492855^2 + 171864^2 .

It is not a de Polignac number, because 272443285521 - 223 = 272434896913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (272443285531) 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 26 ways as a sum of consecutive naturals, for example, 17216805 + ... + 17232621.

Almost surely, 2272443285521 is an apocalyptic number.

272443285521 is the 521961-st square number.

272443285521 is the 260981-st centered octagonal number.

It is an amenable number.

272443285521 is a deficient number, since it is larger than the sum of its proper divisors (160140942282).

272443285521 is an frugal number, since it uses more digits than its factorization.

272443285521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31662 (or 15831 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 272443285521 in words is "two hundred seventy-two billion, four hundred forty-three million, two hundred eighty-five thousand, five hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 15817 47451 142353 173987 521961 1565883 1913857 5741571 17224713 250177489 750532467 2251597401 2751952379 8255857137 24767571411 30271476169 90814428507 272443285521