Search a number
-
+
11124456780 = 22351283144511
BaseRepresentation
bin10100101110001000…
…11011110101001100
31001201021121221211210
422113010123311030
5140240330104110
65035511414420
7542450215413
oct122704336514
931637557753
1011124456780
114799514038
1221a5684410
131083952008
1477762a47a
15451975520
hex29711bd4c

11124456780 has 48 divisors (see below), whose sum is σ = 31172972544. Its totient is φ = 2964189120.

The previous prime is 11124456773. The next prime is 11124456781. The reversal of 11124456780 is 8765442111.

11124456780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11124456781) 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 15 ways as a sum of consecutive naturals, for example, 4725 + ... + 149235.

It is an arithmetic number, because the mean of its divisors is an integer number (649436928).

Almost surely, 211124456780 is an apocalyptic number.

11124456780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11124456780 is an abundant number, since it is smaller than the sum of its proper divisors (20048515764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11124456780 is a wasteful number, since it uses less digits than its factorization.

11124456780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145806 (or 145804 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

Adding to 11124456780 its reverse (8765442111), we get a palindrome (19889898891).

The spelling of 11124456780 in words is "eleven billion, one hundred twenty-four million, four hundred fifty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1283 2566 3849 5132 6415 7698 12830 15396 19245 25660 38490 76980 144511 289022 433533 578044 722555 867066 1445110 1734132 2167665 2890220 4335330 8670660 185407613 370815226 556222839 741630452 927038065 1112445678 1854076130 2224891356 2781114195 3708152260 5562228390 11124456780