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13184908368 = 243432532803
BaseRepresentation
bin11000100011110000…
…11011110001010000
31021000212201202001120
430101320123301100
5204000314031433
610020154202240
7644506605042
oct142170336120
937025652046
1013184908368
11565659a895
12267b723380
1313217a3a38
148d113da92
155227c97b3
hex311e1bc50

13184908368 has 120 divisors (see below), whose sum is σ = 35542180512. Its totient is φ = 4210262784.

The previous prime is 13184908361. The next prime is 13184908369. The reversal of 13184908368 is 86380948131.

It is a self number, because there is not a number n which added to its sum of digits gives 13184908368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13184908361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4702455 + ... + 4705257.

Almost surely, 213184908368 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 13184908368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771090256).

13184908368 is an abundant number, since it is smaller than the sum of its proper divisors (22357272144).

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

13184908368 is a wasteful number, since it uses less digits than its factorization.

13184908368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 13184908368 in words is "thirteen billion, one hundred eighty-four million, nine hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 53 86 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 1849 2064 2279 2544 2803 3698 4558 5547 5606 6837 7396 8409 9116 11094 11212 13674 14792 16818 18232 22188 22424 27348 29584 33636 36464 44376 44848 54696 67272 88752 97997 109392 120529 134544 148559 195994 241058 293991 297118 361587 391988 445677 482116 587982 594236 723174 783976 891354 964232 1175964 1188472 1446348 1567952 1782708 1928464 2351928 2376944 2892696 3565416 4703856 5182747 5785392 6388037 7130832 10365494 12776074 15548241 19164111 20730988 25552148 31096482 38328222 41461976 51104296 62192964 76656444 82923952 102208592 124385928 153312888 248771856 274685591 306625776 549371182 824056773 1098742364 1648113546 2197484728 3296227092 4394969456 6592454184 13184908368