Search a number
-
+
261230365449 = 321703692
BaseRepresentation
bin1111001101001010001…
…0110000101100001001
3220222021121000112100100
43303102202300230021
513234444433143244
6320001345200013
724605350316664
oct3632242605411
9828247015310
10261230365449
11a0872805009
1242765630009
131b831942c51
14c90212a6db
156bddc0eb69
hex3cd28b0b09

261230365449 has 9 divisors (see below), whose sum is σ = 377334964903. Its totient is φ = 174152554752.

The previous prime is 261230365387. The next prime is 261230365507. The reversal of 261230365449 is 944563032162.

The square root of 261230365449 is 511107.

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

261230365449 is a `hidden beast` number, since 26 + 123 + 0 + 3 + 65 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 257411125449 + 3819240000 = 507357^2 + 61800^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 261230365449 - 27 = 261230365321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261230364449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1448137 + ... + 1618505.

Almost surely, 2261230365449 is an apocalyptic number.

261230365449 is the 511107-th square number.

261230365449 is the 255554-th centered octagonal number.

It is an amenable number.

261230365449 is a deficient number, since it is larger than the sum of its proper divisors (116104599454).

261230365449 is an frugal number, since it uses more digits than its factorization.

261230365449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340744 (or 170372 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 261230365449 in words is "two hundred sixty-one billion, two hundred thirty million, three hundred sixty-five thousand, four hundred forty-nine".

Divisors: 1 3 9 170369 511107 1533321 29025596161 87076788483 261230365449