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11264565444 = 22311791080223
BaseRepresentation
bin10100111110110101…
…11010000011000100
31002002001021012210120
422133122322003010
5141032212043234
65101434421540
7546101140446
oct123732720304
932061235716
1011264565444
11486060a820
1222245918b0
1310a6999952
1478c09c496
1545ddee049
hex29f6ba0c4

11264565444 has 48 divisors (see below), whose sum is σ = 29036421120. Its totient is φ = 3370292640.

The previous prime is 11264565443. The next prime is 11264565457. The reversal of 11264565444 is 44456546211.

It is a happy number.

11264565444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11264565396 and 11264565405.

It is not an unprimeable number, because it can be changed into a prime (11264565443) 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, 529684 + ... + 550539.

It is an arithmetic number, because the mean of its divisors is an integer number (604925440).

Almost surely, 211264565444 is an apocalyptic number.

It is an amenable number.

11264565444 is an abundant number, since it is smaller than the sum of its proper divisors (17771855676).

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

11264565444 is a wasteful number, since it uses less digits than its factorization.

11264565444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080320 (or 1080318 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 11264565444 in words is "eleven billion, two hundred sixty-four million, five hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 1080223 2160446 3240669 4320892 6481338 11882453 12962676 23764906 35647359 47529812 71294718 85337617 142589436 170675234 256012851 341350468 512025702 938713787 1024051404 1877427574 2816141361 3754855148 5632282722 11264565444