Search a number
-
+
613848848316 = 2231143479225779
BaseRepresentation
bin10001110111011000011…
…11100001011110111100
32011200110011220102221020
420323230033201132330
540024130301121231
61145555343104140
762230514056044
oct10735417413674
92150404812836
10613848848316
11217371743290
129ab748a2050
1345b68b56202
14219d3652724
1510e7aa95396
hex8eec3e17bc

613848848316 has 96 divisors (see below), whose sum is σ = 1602207129600. Its totient is φ = 181308765120.

The previous prime is 613848848293. The next prime is 613848848323.

613848848316 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 613848848316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605915 + ... + 2831693.

It is an arithmetic number, because the mean of its divisors is an integer number (16689657600).

Almost surely, 2613848848316 is an apocalyptic number.

613848848316 is a gapful number since it is divisible by the number (66) 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 613848848316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801103564800).

613848848316 is an abundant number, since it is smaller than the sum of its proper divisors (988358281284).

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

613848848316 is a wasteful number, since it uses less digits than its factorization.

613848848316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226319 (or 226317 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 60.

The spelling of 613848848316 in words is "six hundred thirteen billion, eight hundred forty-eight million, eight hundred forty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 479 516 946 958 1419 1437 1892 1916 2838 2874 5269 5676 5748 10538 15807 20597 21076 31614 41194 61791 63228 82388 123582 225779 226567 247164 451558 453134 677337 679701 903116 906268 1354674 1359402 2483569 2709348 2718804 4967138 7450707 9708497 9934276 14901414 19416994 29125491 29802828 38833988 58250982 106793467 108148141 116501964 213586934 216296282 320380401 324444423 427173868 432592564 640760802 648888846 1189629551 1281521604 1297777692 2379259102 3568888653 4650370063 4758518204 7137777306 9300740126 13951110189 14275554612 18601480252 27902220378 51154070693 55804440756 102308141386 153462212079 204616282772 306924424158 613848848316