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11353323564 = 223211293131891
BaseRepresentation
bin10101001001011010…
…11111100000101100
31002022020021121001100
422210231133200230
5141222422323224
65114325043100
7551226441462
oct124455374054
932266247040
1011353323564
1148a6723040
12224a256490
1310bc1a554b
14799ba4832
15466ad2ac9
hex2a4b5f82c

11353323564 has 144 divisors (see below), whose sum is σ = 33433021440. Its totient is φ = 3214512000.

The previous prime is 11353323563. The next prime is 11353323577. The reversal of 11353323564 is 46532335311.

11353323564 is a `hidden beast` number, since 1 + 13 + 53 + 32 + 3 + 564 = 666.

11353323564 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 not an unprimeable number, because it can be changed into a prime (11353323563) 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 47 ways as a sum of consecutive naturals, for example, 340059 + ... + 371949.

It is an arithmetic number, because the mean of its divisors is an integer number (232173760).

Almost surely, 211353323564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11353323564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716510720).

11353323564 is an abundant number, since it is smaller than the sum of its proper divisors (22079697876).

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

11353323564 is a wasteful number, since it uses less digits than its factorization.

11353323564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31972 (or 31967 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 11353323564 its reverse (46532335311), we get a palindrome (57885658875).

The spelling of 11353323564 in words is "eleven billion, three hundred fifty-three million, three hundred twenty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 31 33 36 44 58 62 66 87 93 99 116 124 132 174 186 198 261 279 319 341 348 372 396 522 558 638 682 899 957 1023 1044 1116 1276 1364 1798 1914 2046 2697 2871 3069 3596 3828 4092 5394 5742 6138 8091 9889 10788 11484 12276 16182 19778 29667 31891 32364 39556 59334 63782 89001 95673 118668 127564 178002 191346 287019 350801 356004 382692 574038 701602 924839 988621 1052403 1148076 1403204 1849678 1977242 2104806 2774517 2965863 3157209 3699356 3954484 4209612 5549034 5931726 6314418 8323551 8897589 10173229 10874831 11098068 11863452 12628836 16647102 17795178 20346458 21749662 28670009 30519687 32624493 33294204 35590356 40692916 43499324 57340018 61039374 65248986 86010027 91559061 97873479 114680036 122078748 130497972 172020054 183118122 195746958 258030081 315370099 344040108 366236244 391493916 516060162 630740198 946110297 1032120324 1261480396 1892220594 2838330891 3784441188 5676661782 11353323564