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866836638668 = 2271113382356629
BaseRepresentation
bin11001001110100110111…
…11010110101111001100
310001212110100001202220102
430213103133112233030
5103200240134414133
61502115205310232
7116425006566620
oct14472337265714
93055410052812
10866836638668
11304694758660
1211bbb9a05378
1363985c13090
142dd52bad180
1517835d407e8
hexc9d37d6bcc

866836638668 has 96 divisors (see below), whose sum is σ = 2037331752960. Its totient is φ = 311662391040.

The previous prime is 866836638659. The next prime is 866836638673.

It is a happy number.

866836638668 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 866836638595 and 866836638604.

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, 15278978 + ... + 15335606.

It is an arithmetic number, because the mean of its divisors is an integer number (21222205760).

Almost surely, 2866836638668 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 866836638668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018665876480).

866836638668 is an abundant number, since it is smaller than the sum of its proper divisors (1170495114292).

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

866836638668 is a wasteful number, since it uses less digits than its factorization.

866836638668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60487 (or 60485 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 74.

The spelling of 866836638668 in words is "eight hundred sixty-six billion, eight hundred thirty-six million, six hundred thirty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 3823 4004 7646 15292 26761 42053 49699 53522 56629 84106 99398 107044 113258 168212 198796 226516 294371 347893 396403 546689 588742 622919 695786 736177 792806 1093378 1177484 1245838 1391572 1472354 1585612 2186756 2491676 2944708 3826823 4360433 5153239 7653646 8097947 8720866 10306478 15307292 16195894 17441732 20612956 32391788 56685629 113371258 216492667 226742516 432985334 865970668 1515448669 2381419337 2814404671 3030897338 4762838674 5628809342 6061794676 9525677348 11257618684 16669935359 19700832697 30958451381 33339870718 39401665394 61916902762 66679741436 78803330788 123833805524 216709159667 433418319334 866836638668