Search a number
-
+
86651993934 = 2321137101117109
BaseRepresentation
bin101000010110011011…
…1000111111101001110
322021122221000101012200
41100230313013331032
52404430402301214
6103450220542330
76155213536632
oct1205467077516
9267587011180
1086651993934
1133826878630
12149636b19a6
13822c3022bc
1442a03c6dc2
1523c2494d09
hex142cdc7f4e

86651993934 has 96 divisors (see below), whose sum is σ = 212433792480. Its totient is φ = 25295328000.

The previous prime is 86651993929. The next prime is 86651993963. The reversal of 86651993934 is 43939915668.

86651993934 is a `hidden beast` number, since 86 + 6 + 519 + 9 + 3 + 9 + 34 = 666.

It is a Curzon number.

It is a congruent number.

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, 681372 + ... + 798480.

It is an arithmetic number, because the mean of its divisors is an integer number (2212852005).

Almost surely, 286651993934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86651993934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106216896240).

86651993934 is an abundant number, since it is smaller than the sum of its proper divisors (125781798546).

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

86651993934 is a wasteful number, since it uses less digits than its factorization.

86651993934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117266 (or 117263 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 86651993934 in words is "eighty-six billion, six hundred fifty-one million, nine hundred ninety-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 101 111 198 202 222 303 333 407 606 666 814 909 1111 1221 1818 2222 2442 3333 3663 3737 6666 7326 7474 9999 11211 19998 22422 33633 41107 67266 82214 117109 123321 234218 246642 351327 369963 702654 739926 1053981 1288199 2107962 2576398 3864597 4333033 7729194 8666066 11593791 11828009 12999099 23187582 23656018 25998198 35484027 38997297 47663363 70968054 77994594 95326726 106452081 130108099 142990089 212904162 260216198 285980178 390324297 428970267 437636333 780648594 857940534 875272666 1170972891 1312908999 2341945782 2625817998 3938726997 4813999663 7877453994 9627999326 14441998989 28883997978 43325996967 86651993934