Search a number
-
+
12319446049 = 17265292
BaseRepresentation
bin10110111100100101…
…11101010000100001
31011210120012200221121
423132102331100201
5200212234233144
65354240252241
7614200364221
oct133622752041
934716180847
1012319446049
115252008179
122479911081
1312143b0861
1484c214081
154c1821384
hex2de4bd421

12319446049 has 9 divisors (see below), whose sum is σ = 13088751897. Its totient is φ = 11592996864.

The previous prime is 12319445989. The next prime is 12319446053. The reversal of 12319446049 is 94064491321.

The square root of 12319446049 is 110993.

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

12319446049 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 4 ways, for example, as 445421025 + 11874025024 = 21105^2 + 108968^2 .

It is not a de Polignac number, because 12319446049 - 213 = 12319437857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12319445996 and 12319446014.

It is not an unprimeable number, because it can be changed into a prime (12319416049) 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, 1883617 + ... + 1890145.

Almost surely, 212319446049 is an apocalyptic number.

12319446049 is the 110993-rd square number.

12319446049 is the 55497-th centered octagonal number.

It is an amenable number.

12319446049 is a deficient number, since it is larger than the sum of its proper divisors (769305848).

12319446049 is an frugal number, since it uses more digits than its factorization.

12319446049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 12319446049 in words is "twelve billion, three hundred nineteen million, four hundred forty-six thousand, forty-nine".

Divisors: 1 17 289 6529 110993 1886881 42627841 724673297 12319446049