Search a number
-
+
32414923684 = 2211132310723027
BaseRepresentation
bin11110001100000101…
…000111101110100100
310002200001101201220001
4132030011013232210
51012341210024214
622520300151044
72225162206453
oct361405075644
9102601351801
1032414923684
1112824419a30
126347838484
1330977a7720
1417d7070b9a
15c9ab4bc74
hex78c147ba4

32414923684 has 96 divisors (see below), whose sum is σ = 70193765376. Its totient is φ = 12887191680.

The previous prime is 32414923679. The next prime is 32414923699. The reversal of 32414923684 is 48632941423.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396179 + ... + 1419205.

It is an arithmetic number, because the mean of its divisors is an integer number (731185056).

Almost surely, 232414923684 is an apocalyptic number.

It is an amenable number.

32414923684 is an abundant number, since it is smaller than the sum of its proper divisors (37778841692).

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

32414923684 is a wasteful number, since it uses less digits than its factorization.

32414923684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23185 (or 23183 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The spelling of 32414923684 in words is "thirty-two billion, four hundred fourteen million, nine hundred twenty-three thousand, six hundred eighty-four".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 92 107 143 214 253 286 299 428 506 572 598 1012 1177 1196 1391 2354 2461 2782 3289 4708 4922 5564 6578 9844 13156 15301 23027 27071 30602 31993 46054 54142 61204 63986 92108 108284 127972 253297 299351 351923 506594 529621 598702 703846 1013188 1059242 1197404 1407692 2118484 2463889 3292861 4927778 5825831 6585722 6885073 9855556 11651662 13171444 13770146 23303324 27102779 27540292 32030557 54205558 56669447 64061114 75735803 108411116 113338894 128122228 151471606 226677788 302943212 352336127 623363917 704672254 736702811 1246727834 1409344508 1473405622 2493455668 2946811244 8103730921 16207461842 32414923684