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11040352326 = 234416724809
BaseRepresentation
bin10100100100000111…
…00110100001000110
31001111102101000020000
422102003212201012
5140102312233301
65023305022130
7540406306053
oct122203464106
931442330200
1011040352326
114755a9a123
122181484946
13106c3b5673
1476a3b602a
154493b0786
hex2920e6846

11040352326 has 80 divisors (see below), whose sum is σ = 25721221680. Its totient is φ = 3536628480.

The previous prime is 11040352303. The next prime is 11040352327. The reversal of 11040352326 is 62325304011.

11040352326 is a `hidden beast` number, since 110 + 4 + 0 + 3 + 523 + 26 = 666.

It is a super-2 number, since 2×110403523262 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11040352326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040352327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432610 + ... + 457418.

It is an arithmetic number, because the mean of its divisors is an integer number (321515271).

Almost surely, 211040352326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040352326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860610840).

11040352326 is an abundant number, since it is smaller than the sum of its proper divisors (14680869354).

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

11040352326 is a wasteful number, since it uses less digits than its factorization.

11040352326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24931 (or 24922 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11040352326 its reverse (62325304011), we get a palindrome (73365656337).

The spelling of 11040352326 in words is "eleven billion, forty million, three hundred fifty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 67 81 82 123 134 162 201 246 369 402 603 738 1107 1206 1809 2214 2747 3321 3618 5427 5494 6642 8241 10854 16482 24723 24809 49446 49618 74169 74427 148338 148854 222507 223281 445014 446562 669843 1017169 1339686 1662203 2009529 2034338 3051507 3324406 4019058 4986609 6103014 9154521 9973218 14959827 18309042 27463563 29919654 44879481 54927126 68150323 82390689 89758962 134638443 136300646 164781378 204450969 269276886 408901938 613352907 1226705814 1840058721 3680117442 5520176163 11040352326