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13382871516 = 2234733117827
BaseRepresentation
bin11000111011010111…
…00110100111011100
31021112200020022110000
430131223212213130
5204402003342031
610051545214300
7652432350060
oct143553464734
937480208400
1013382871516
1157483114a3
122715a91390
1313537c6bb1
1490d551aa0
15534d803e6
hex31dae69dc

13382871516 has 120 divisors (see below), whose sum is σ = 40106439296. Its totient is φ = 3811911840.

The previous prime is 13382871503. The next prime is 13382871581. The reversal of 13382871516 is 61517828331.

It is a happy number.

13382871516 is a `hidden beast` number, since 13 + 38 + 28 + 71 + 516 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741795 + ... + 759621.

Almost surely, 213382871516 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 13382871516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20053219648).

13382871516 is an abundant number, since it is smaller than the sum of its proper divisors (26723567780).

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

13382871516 is a wasteful number, since it uses less digits than its factorization.

13382871516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18181 (or 18170 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 13382871516 in words is "thirteen billion, three hundred eighty-two million, eight hundred seventy-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 331 378 567 662 756 993 1134 1324 1986 2268 2317 2979 3972 4634 5958 6951 8937 9268 11916 13902 17827 17874 20853 26811 27804 35654 35748 41706 53481 53622 62559 71308 83412 106962 107244 124789 125118 160443 187677 213924 249578 250236 320886 374367 375354 481329 499156 641772 748734 750708 962658 1123101 1443987 1497468 1925316 2246202 2887974 3369303 4492404 5775948 5900737 6738606 10107909 11801474 13477212 17702211 20215818 23602948 35404422 40431636 41305159 53106633 70808844 82610318 106213266 123915477 159319899 165220636 212426532 247830954 318639798 371746431 477959697 495661908 637279596 743492862 955919394 1115239293 1486985724 1911838788 2230478586 3345717879 4460957172 6691435758 13382871516