Search a number
-
+
96987386826 = 23411597191283
BaseRepresentation
bin101101001010011100…
…1100001001111001010
3100021100012212201220000
41122110321201033022
53042112232334301
6112315544143430
710002303120501
oct1322471411712
9307305781800
1096987386826
113814a940250
1216968a67b76
1391b86300b5
1449a0cd3838
1527c9a03786
hex1694e613ca

96987386826 has 160 divisors (see below), whose sum is σ = 241622092800. Its totient is φ = 28829308320.

The previous prime is 96987386819. The next prime is 96987386849. The reversal of 96987386826 is 62868378969.

96987386826 is a `hidden beast` number, since 96 + 9 + 87 + 386 + 82 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75593581 + ... + 75594863.

It is an arithmetic number, because the mean of its divisors is an integer number (1510138080).

Almost surely, 296987386826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96987386826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120811046400).

96987386826 is an abundant number, since it is smaller than the sum of its proper divisors (144634705974).

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

96987386826 is a wasteful number, since it uses less digits than its factorization.

96987386826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2077 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 96987386826 in words is "ninety-six billion, nine hundred eighty-seven million, three hundred eighty-six thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 297 354 531 594 649 719 891 1062 1283 1298 1438 1593 1782 1947 2157 2566 3186 3849 3894 4314 4779 5841 6471 7698 7909 9558 11547 11682 12942 14113 15818 17523 19413 23094 23727 28226 34641 35046 38826 42339 42421 47454 52569 58239 69282 71181 75697 84678 84842 103923 105138 116478 127017 127263 142362 151394 207846 213543 227091 254034 254526 381051 381789 427086 454182 466631 640629 681273 762102 763578 832667 922477 933262 1143153 1145367 1281258 1362546 1399893 1665334 1844954 2043819 2286306 2290734 2498001 2767431 2799786 3436101 4087638 4199679 4996002 5534862 6131457 6872202 7494003 8302293 8399358 10147247 12262914 12599037 14988006 16604586 20294494 22482009 24906879 25198074 30441741 37797111 44964018 49813758 54426143 60883482 67446027 74720637 75594222 91325223 108852286 134892054 149441274 163278429 182650446 273975669 326556858 489835287 547951338 598687573 821927007 979670574 1197375146 1469505861 1643854014 1796062719 2939011722 3592125438 4408517583 5388188157 8817035166 10776376314 16164564471 32329128942 48493693413 96987386826