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13497019065 = 345592112677
BaseRepresentation
bin11001001000111110…
…00010101010111001
31021211122000121110000
430210133002222321
5210120214102230
610111143543213
7655316524545
oct144437025271
937748017400
1013497019065
1157a6796212
12274815ab09
13137135201a
14920786a25
1553edcbb60
hex3247c2ab9

13497019065 has 80 divisors (see below), whose sum is σ = 24730580160. Its totient is φ = 7040234880.

The previous prime is 13497019057. The next prime is 13497019087. The reversal of 13497019065 is 56091079431.

13497019065 is a `hidden beast` number, since 13 + 497 + 0 + 1 + 90 + 65 = 666.

13497019065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13497019065 - 23 = 13497019057 is a prime.

It is a super-3 number, since 3×134970190653 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13497019065.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5040507 + ... + 5043183.

It is an arithmetic number, because the mean of its divisors is an integer number (309132252).

Almost surely, 213497019065 is an apocalyptic number.

13497019065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13497019065 is a deficient number, since it is larger than the sum of its proper divisors (11233561095).

13497019065 is a wasteful number, since it uses less digits than its factorization.

13497019065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13497019065 in words is "thirteen billion, four hundred ninety-seven million, nineteen thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 59 81 135 177 211 295 405 531 633 885 1055 1593 1899 2655 2677 3165 4779 5697 7965 8031 9495 12449 13385 17091 23895 24093 28485 37347 40155 62245 72279 85455 112041 120465 157943 186735 216837 336123 361395 473829 560205 564847 789715 1008369 1084185 1421487 1680615 1694541 2369145 2824235 4264461 5041845 5083623 7107435 8472705 12793383 15250869 21322305 25418115 33325973 45752607 63966915 76254345 99977919 166629865 228763035 299933757 499889595 899801271 1499668785 2699403813 4499006355 13497019065