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13365365706 = 23271110988469
BaseRepresentation
bin11000111001010001…
…10100101111001010
31021111110021220222200
430130220310233022
5204333013200311
610050122101030
7652130506530
oct143450645712
937443256880
1013365365706
115739445090
12271004a776
13134cca7b24
1490b0b6150
15533573556
hex31ca34bca

13365365706 has 96 divisors (see below), whose sum is σ = 36435484800. Its totient is φ = 3439635840.

The previous prime is 13365365693. The next prime is 13365365707. The reversal of 13365365706 is 60756356331.

13365365706 is a `hidden beast` number, since 13 + 3 + 65 + 3 + 6 + 570 + 6 = 666.

13365365706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13365365707) 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, 106840 + ... + 195308.

It is an arithmetic number, because the mean of its divisors is an integer number (379536300).

Almost surely, 213365365706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13365365706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217742400).

13365365706 is an abundant number, since it is smaller than the sum of its proper divisors (23070119094).

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

13365365706 is a wasteful number, since it uses less digits than its factorization.

13365365706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88604 (or 88601 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 13365365706 in words is "thirteen billion, three hundred sixty-five million, three hundred sixty-five thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 109 126 154 198 218 231 327 462 654 693 763 981 1199 1386 1526 1962 2289 2398 3597 4578 6867 7194 8393 10791 13734 16786 21582 25179 50358 75537 88469 151074 176938 265407 530814 619283 796221 973159 1238566 1592442 1857849 1946318 2919477 3715698 5573547 5838954 6812113 8758431 9643121 11147094 13624226 17516862 19286242 20436339 28929363 40872678 57858726 61309017 67501847 86788089 106074331 122618034 135003694 173576178 202505541 212148662 318222993 405011082 607516623 636445986 742520317 954668979 1215033246 1485040634 1909337958 2227560951 4455121902 6682682853 13365365706