Search a number
-
+
12744823553 = 71119831031019
BaseRepresentation
bin10111101111010011…
…01001001100000001
31012220012122010011222
423313221221030001
5202100133323203
65504353444425
7630554132660
oct136751511401
935805563158
1012744823553
115450136630
122578270715
131281569117
1488c902dd7
154e8d49038
hex2f7a69301

12744823553 has 64 divisors (see below), whose sum is σ = 17108582400. Its totient is φ = 9195716160.

The previous prime is 12744823529. The next prime is 12744823577. The reversal of 12744823553 is 35532844721.

12744823553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12744823529) and next prime (12744823577).

It is a cyclic number.

It is not a de Polignac number, because 12744823553 - 26 = 12744823489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12744823523) 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 63 ways as a sum of consecutive naturals, for example, 12506678 + ... + 12507696.

It is an arithmetic number, because the mean of its divisors is an integer number (267321600).

Almost surely, 212744823553 is an apocalyptic number.

It is an amenable number.

12744823553 is a deficient number, since it is larger than the sum of its proper divisors (4363758847).

12744823553 is a wasteful number, since it uses less digits than its factorization.

12744823553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242.

The product of its digits is 806400, while the sum is 44.

The spelling of 12744823553 in words is "twelve billion, seven hundred forty-four million, eight hundred twenty-three thousand, five hundred fifty-three".

Divisors: 1 7 11 19 77 83 103 133 209 581 721 913 1019 1133 1463 1577 1957 6391 7133 7931 8549 11039 11209 13699 17347 19361 21527 59843 78463 84577 94039 104957 121429 135527 150689 162431 212971 592039 658273 734699 930347 1137017 1154527 1490797 1606963 1786741 1994183 6512429 8081689 8711431 11248741 12507187 13959281 17676593 21936013 60980017 95825741 123736151 153552091 165517189 670780187 1158620323 1820689079 12744823553