Search a number
-
+
8257706785836 = 2235531132914149
BaseRepresentation
bin111100000101010010110…
…1011011111110000101100
31002020102120210011112200000
41320022211223133300230
52040243240414121321
625321312122504300
71511412446361324
oct170124553376054
932212523145600
108257706785836
1126a408a225782
12b14495365090
1347b910532c51
14207964830284
15e4c0665b826
hex782a5adfc2c

8257706785836 has 144 divisors (see below), whose sum is σ = 22058680644000. Its totient is φ = 2700204429312.

The previous prime is 8257706785829. The next prime is 8257706785873. The reversal of 8257706785836 is 6385876077528.

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 47 ways as a sum of consecutive naturals, for example, 583617690 + ... + 583631838.

It is an arithmetic number, because the mean of its divisors is an integer number (153185282250).

Almost surely, 28257706785836 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 8257706785836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11029340322000).

8257706785836 is an abundant number, since it is smaller than the sum of its proper divisors (13800973858164).

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

8257706785836 is a wasteful number, since it uses less digits than its factorization.

8257706785836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25550 (or 25536 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 8257706785836 in words is "eight trillion, two hundred fifty-seven billion, seven hundred six million, seven hundred eighty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 954 972 1431 1908 2862 4293 5724 8586 11329 12879 14149 17172 22658 25758 28298 33987 42447 45316 51516 56596 67974 84894 101961 127341 135948 169788 203922 254682 305883 382023 407844 509364 600437 611766 749897 764046 917649 1146069 1200874 1223532 1499794 1528092 1801311 1835298 2249691 2292138 2401748 2752947 2999588 3438207 3602622 3670596 4499382 4584276 5403933 5505894 6749073 6876414 7205244 8998764 10807866 11011788 13498146 13752828 16211799 20247219 21615732 26996292 32423598 40494438 48635397 60741657 64847196 80988876 97270794 121483314 145906191 160294021 182224971 194541588 242966628 291812382 320588042 364449942 480882063 583624764 641176084 728899884 961764126 1442646189 1923528252 2885292378 4327938567 5770584756 8495583113 8655877134 12983815701 16991166226 17311754268 25486749339 25967631402 33982332452 38951447103 50973498678 51935262804 76460248017 77902894206 101946997356 152920496034 155805788412 229380744051 305840992068 458761488102 688142232153 917522976204 1376284464306 2064426696459 2752568928612 4128853392918 8257706785836