Search a number
-
+
11126323656 = 2332728577727
BaseRepresentation
bin10100101110010111…
…00011100111001000
31001201102010210201100
422113023203213020
5140241314324111
65040015421400
7542502122250
oct122713434710
931642123640
1011126323656
11479a579708
1221a6224860
131084156986
14777994960
15451be3756
hex2972e39c8

11126323656 has 96 divisors (see below), whose sum is σ = 34455133440. Its totient is φ = 3177425664.

The previous prime is 11126323609. The next prime is 11126323661. The reversal of 11126323656 is 65632362111.

11126323656 is a `hidden beast` number, since 1 + 1 + 12 + 632 + 3 + 6 + 5 + 6 = 666.

11126323656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11126323656.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1436065 + ... + 1443791.

It is an arithmetic number, because the mean of its divisors is an integer number (358907640).

Almost surely, 211126323656 is an apocalyptic number.

It is an amenable number.

11126323656 is an abundant number, since it is smaller than the sum of its proper divisors (23328809784).

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

11126323656 is a wasteful number, since it uses less digits than its factorization.

11126323656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603 (or 10596 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Adding to 11126323656 its reverse (65632362111), we get a palindrome (76758685767).

The spelling of 11126323656 in words is "eleven billion, one hundred twenty-six million, three hundred twenty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2857 5714 7727 8571 11428 15454 17142 19999 22856 23181 25713 30908 34284 39998 46362 51426 54089 59997 61816 68568 69543 79996 92724 102852 108178 119994 139086 159992 162267 179991 185448 205704 216356 239988 278172 324534 359982 432712 479976 486801 556344 649068 719964 973602 1298136 1439928 1947204 3894408 22076039 44152078 66228117 88304156 132456234 154532273 176608312 198684351 264912468 309064546 397368702 463596819 529824936 618129092 794737404 927193638 1236258184 1390790457 1589474808 1854387276 2781580914 3708774552 5563161828 11126323656