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13313652066 = 23211136837573
BaseRepresentation
bin11000110011000111…
…00011010101100010
31021100211222121012200
430121203203111202
5204231243331231
610041033434030
7650632114101
oct143143432542
937324877180
1013313652066
115712233940
1226b686b916
13134236c740
14904294038
1552dc5abe6
hex3198e3562

13313652066 has 96 divisors (see below), whose sum is σ = 33943396032. Its totient is φ = 3718154880.

The previous prime is 13313652059. The next prime is 13313652067. The reversal of 13313652066 is 66025631331.

13313652066 is a `hidden beast` number, since 13 + 31 + 36 + 520 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13313652066.

It is not an unprimeable number, because it can be changed into a prime (13313652067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754256 + ... + 1761828.

It is an arithmetic number, because the mean of its divisors is an integer number (353577042).

Almost surely, 213313652066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313652066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971698016).

13313652066 is an abundant number, since it is smaller than the sum of its proper divisors (20629743966).

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

13313652066 is a wasteful number, since it uses less digits than its factorization.

13313652066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13313652066 in words is "thirteen billion, three hundred thirteen million, six hundred fifty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 683 858 1287 1366 2049 2574 4098 6147 7513 7573 8879 12294 15026 15146 17758 22539 22719 26637 45078 45438 53274 67617 68157 79911 83303 97669 98449 135234 136314 159822 166606 195338 196898 249909 293007 295347 499818 586014 590694 749727 879021 886041 1082939 1499454 1758042 1772082 2165878 3248817 5172359 6497634 9746451 10344718 15517077 19492902 31034154 46551231 56895949 67240667 93102462 113791898 134481334 170687847 201722001 341375694 403444002 512063541 605166003 739647337 1024127082 1210332006 1479294674 2218942011 4437884022 6656826033 13313652066