Search a number
-
+
84855849568 = 2572894611319
BaseRepresentation
bin100111100000111001…
…1011000001001100000
322010000202020210100021
41033001303120021200
52342241044141233
6102552055203224
76062543551300
oct1170163301140
9263022223307
1084855849568
1132a94a077a6
1214542076514
138004162199
14416da35600
15231994de2d
hex13c1cd8260

84855849568 has 144 divisors (see below), whose sum is σ = 197094189600. Its totient is φ = 35852974080.

The previous prime is 84855849557. The next prime is 84855849607. The reversal of 84855849568 is 86594855848.

It is a junction number, because it is equal to n+sod(n) for n = 84855849497 and 84855849506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64332813 + ... + 64334131.

It is an arithmetic number, because the mean of its divisors is an integer number (1368709650).

Almost surely, 284855849568 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 84855849568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98547094800).

84855849568 is an abundant number, since it is smaller than the sum of its proper divisors (112238340032).

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

84855849568 is a wasteful number, since it uses less digits than its factorization.

84855849568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1878 counting only the distinct ones).

The product of its digits is 442368000, while the sum is 70.

The spelling of 84855849568 in words is "eighty-four billion, eight hundred fifty-five million, eight hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 89 98 112 178 196 224 356 392 461 623 712 784 922 1246 1319 1424 1568 1844 2492 2638 2848 3227 3688 4361 4984 5276 6454 7376 8722 9233 9968 10552 12908 14752 17444 18466 19936 21104 22589 25816 34888 36932 41029 42208 45178 51632 64631 69776 73864 82058 90356 103264 117391 129262 139552 147728 164116 180712 234782 258524 287203 295456 328232 361424 469564 517048 574406 608059 656464 722848 821737 939128 1034096 1148812 1216118 1312928 1643474 1878256 2010421 2068192 2297624 2432236 3286948 3756512 4020842 4256413 4595248 4864472 5752159 6573896 8041684 8512826 9190496 9728944 11504318 13147792 16083368 17025652 19457888 23008636 26295584 29794891 32166736 34051304 46017272 54117251 59589782 64333472 68102608 92034544 108234502 119179564 136205216 184069088 216469004 238359128 378820757 432938008 476718256 757641514 865876016 953436512 1515283028 1731752032 2651745299 3030566056 5303490598 6061132112 10606981196 12122264224 21213962392 42427924784 84855849568