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18826023408066 = 23274314712362147
BaseRepresentation
bin1000100011111010001100…
…11100000001000111000010
32110122202020221101111102200
410101331012130001013002
54431421143443024231
6104012320013254030
73652064260443120
oct421750634010702
973582227344380
1018826023408066
115aa9087469666
122140739194316
13a67395277154
14491281d9c910
15229a94b24be6
hex111f467011c2

18826023408066 has 96 divisors (see below), whose sum is σ = 47733379719168. Its totient is φ = 5250200185440.

The previous prime is 18826023408029. The next prime is 18826023408191. The reversal of 18826023408066 is 66080432062881.

18826023408066 is a `hidden beast` number, since 18 + 8 + 260 + 234 + 0 + 80 + 66 = 666.

It is a super-2 number, since 2×188260234080662 (a number of 27 digits) contains 22 as substring.

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, 6788805 + ... + 9150951.

It is an arithmetic number, because the mean of its divisors is an integer number (497222705408).

Almost surely, 218826023408066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18826023408066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23866689859584).

18826023408066 is an abundant number, since it is smaller than the sum of its proper divisors (28907356311102).

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

18826023408066 is a wasteful number, since it uses less digits than its factorization.

18826023408066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363676 (or 2363673 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 18826023408066 in words is "eighteen trillion, eight hundred twenty-six billion, twenty-three million, four hundred eight thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1471 1806 2709 2942 4413 5418 8826 10297 13239 20594 26478 30891 61782 63253 92673 126506 185346 189759 379518 442771 569277 885542 1138554 1328313 2362147 2656626 3984939 4724294 7086441 7969878 14172882 16535029 21259323 33070058 42518646 49605087 99210174 101572321 148815261 203144642 297630522 304716963 609433926 711006247 914150889 1422012494 1828301778 2133018741 3474718237 4266037482 6399056223 6949436474 10424154711 12798112446 20848309422 24323027659 31272464133 48646055318 62544928266 72969082977 145938165954 149412884191 218907248931 298825768382 437814497862 448238652573 896477305146 1045890189337 1344715957719 2091780378674 2689431915438 3137670568011 6275341136022 9413011704033 18826023408066