Search a number
-
+
10728663349 is a prime number
BaseRepresentation
bin10011111110111101…
…00110100100110101
31000200200212120022211
421333132212210311
5133433014211344
64532332253421
7526603063615
oct117736464465
930620776284
1010728663349
114606061628
1220b5011271
13101c954311
1473ac3ca45
1542bd43334
hex27f7a6935

10728663349 has 2 divisors, whose sum is σ = 10728663350. Its totient is φ = 10728663348.

The previous prime is 10728663311. The next prime is 10728663353. The reversal of 10728663349 is 94336682701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8474123025 + 2254540324 = 92055^2 + 47482^2 .

It is a cyclic number.

It is not a de Polignac number, because 10728663349 - 211 = 10728661301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10728663949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5364331674 + 5364331675.

It is an arithmetic number, because the mean of its divisors is an integer number (5364331675).

Almost surely, 210728663349 is an apocalyptic number.

It is an amenable number.

10728663349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10728663349 is an equidigital number, since it uses as much as digits as its factorization.

10728663349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 10728663349 in words is "ten billion, seven hundred twenty-eight million, six hundred sixty-three thousand, three hundred forty-nine".