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27305170912 = 252353719859
BaseRepresentation
bin11001011011100000…
…111101011111100000
32121110221111101211101
4121123200331133200
5421410110432122
620313244324144
71654435060165
oct313340753740
977427441741
1027305170912
111064206a058
125360543654
132761c9c186
1414705a006c
15a9c266027
hex65b83d7e0

27305170912 has 96 divisors (see below), whose sum is σ = 57963548160. Its totient is φ = 12630858240.

The previous prime is 27305170873. The next prime is 27305170943. The reversal of 27305170912 is 21907150372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764639 + ... + 2774497.

It is an arithmetic number, because the mean of its divisors is an integer number (603786960).

Almost surely, 227305170912 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 27305170912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28981774080).

27305170912 is an abundant number, since it is smaller than the sum of its proper divisors (30658377248).

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

27305170912 is a wasteful number, since it uses less digits than its factorization.

27305170912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 27305170912 in words is "twenty-seven billion, three hundred five million, one hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 53 71 92 106 142 184 212 284 368 424 568 736 848 1136 1219 1633 1696 2272 2438 3266 3763 4876 6532 7526 9752 9859 13064 15052 19504 19718 26128 30104 39008 39436 52256 60208 78872 86549 120416 157744 173098 226757 315488 346196 453514 522527 692392 699989 907028 1045054 1384784 1399978 1814056 2090108 2769568 2799956 3628112 4180216 5599912 7256224 8360432 11199824 12018121 16099747 16720864 22399648 24036242 32199494 37099417 48072484 64398988 74198834 96144968 128797976 148397668 192289936 257595952 296795336 384579872 515191904 593590672 853286591 1187181344 1706573182 3413146364 6826292728 13652585456 27305170912