Search a number
-
+
3668221348836 = 22311223127864883
BaseRepresentation
bin110101011000010011000…
…001111100101111100100
3110222200022122121221002220
4311120103001330233210
5440100004131130321
611445054014032340
7526006642001622
oct65302301745744
913880278557086
103668221348836
111194758359400
124b2b13aa86b0
13207bb127b035
14c9785876512
15656439849c6
hex3561307cbe4

3668221348836 has 144 divisors (see below), whose sum is σ = 9894383665152. Its totient is φ = 1054879277760.

The previous prime is 3668221348811. The next prime is 3668221348873. The reversal of 3668221348836 is 6388431228663.

3668221348836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×36682213488363 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3668221348836.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3808851 + ... + 4673733.

Almost surely, 23668221348836 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 3668221348836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947191832576).

3668221348836 is an abundant number, since it is smaller than the sum of its proper divisors (6226162316316).

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

3668221348836 is a wasteful number, since it uses less digits than its factorization.

3668221348836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865062 (or 865049 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 3668221348836 in words is "three trillion, six hundred sixty-eight billion, two hundred twenty-one million, three hundred forty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 127 132 138 242 253 254 276 363 381 484 506 508 726 759 762 1012 1397 1452 1518 1524 2783 2794 2921 3036 4191 5566 5588 5842 8349 8382 8763 11132 11684 15367 16698 16764 17526 30734 32131 33396 35052 46101 61468 64262 92202 96393 128524 184404 192786 353441 385572 706882 864883 1060323 1413764 1729766 2120646 2594649 3459532 4241292 5189298 9513713 10378596 19027426 19892309 28541139 38054852 39784618 57082278 59676927 79569236 104650843 109840141 114164556 119353854 209301686 218815399 219680282 238707708 313952529 329520423 418603372 437630798 439360564 627905058 656446197 659040846 875261596 1208241551 1255810116 1312892394 1318081692 2406969389 2416483102 2526323243 2625784788 3624724653 4813938778 4832966204 5052646486 7220908167 7249449306 7578969729 9627877556 10105292972 13290657061 14441816334 14498898612 15157939458 26581314122 27789555673 28883632668 30315878916 39871971183 53162628244 55579111346 79743942366 83368667019 111158222692 159487884732 166737334038 305685112403 333474668076 611370224806 917055337209 1222740449612 1834110674418 3668221348836