Search a number
-
+
13382565252 = 223710912011217
BaseRepresentation
bin11000111011010100…
…11011110110000100
31021112122122202022220
430131222123312010
5204401414042002
610051534452340
7652426633140
oct143552336604
937478582286
1013382565252
115748122391
1227159640b0
13135371a684
1490d4b2220
15534d1e7bc
hex31da9bd84

13382565252 has 96 divisors (see below), whose sum is σ = 36073847040. Its totient is φ = 3782246400.

The previous prime is 13382565247. The next prime is 13382565263. The reversal of 13382565252 is 25256528331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10995748 + ... + 10996964.

It is an arithmetic number, because the mean of its divisors is an integer number (375769240).

Almost surely, 213382565252 is an apocalyptic number.

13382565252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13382565252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036923520).

13382565252 is an abundant number, since it is smaller than the sum of its proper divisors (22691281788).

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

13382565252 is a wasteful number, since it uses less digits than its factorization.

13382565252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2539 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 13382565252 in words is "thirteen billion, three hundred eighty-two million, five hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1201 1217 1308 1526 2289 2402 2434 3052 3603 3651 4578 4804 4868 7206 7302 8407 8519 9156 14412 14604 16814 17038 25221 25557 33628 34076 50442 51114 100884 102228 130909 132653 261818 265306 392727 397959 523636 530612 785454 795918 916363 928571 1461617 1570908 1591836 1832726 1857142 2749089 2785713 2923234 3665452 3714284 4384851 5498178 5571426 5846468 8769702 10231319 10996356 11142852 17539404 20462638 30693957 40925276 61387914 122775828 159316253 318632506 477948759 637265012 955897518 1115213771 1911795036 2230427542 3345641313 4460855084 6691282626 13382565252