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13006418145 = 357297182431
BaseRepresentation
bin11000001110011111…
…00011000011100001
31020120102212111111120
430013033203003201
5203114120340040
65550340402453
7640211505300
oct140717430341
936512774446
1013006418145
115574869506
12262b9a6429
1312c380b116
148b555a437
15511cbd7d0
hex3073e30e1

13006418145 has 48 divisors (see below), whose sum is σ = 24457563648. Its totient is φ = 5884462080.

The previous prime is 13006418141. The next prime is 13006418171. The reversal of 13006418145 is 54181460031.

It is not a de Polignac number, because 13006418145 - 22 = 13006418141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13006418141) 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, 19921 + ... + 162510.

It is an arithmetic number, because the mean of its divisors is an integer number (509532576).

Almost surely, 213006418145 is an apocalyptic number.

13006418145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13006418145 is a deficient number, since it is larger than the sum of its proper divisors (11451145503).

13006418145 is a wasteful number, since it uses less digits than its factorization.

13006418145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182550 (or 182543 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 13006418145 its reverse (54181460031), we get a palindrome (67187878176).

The spelling of 13006418145 in words is "thirteen billion, six million, four hundred eighteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 97 105 147 245 291 485 679 735 1455 2037 3395 4753 10185 14259 23765 71295 182431 547293 912155 1277017 2736465 3831051 6385085 8939119 17695807 19155255 26817357 44695595 53087421 88479035 123870649 134086785 265437105 371611947 619353245 867094543 1858059735 2601283629 4335472715 13006418145