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12914899584 = 273313892789
BaseRepresentation
bin11000000011100100…
…11011101010000000
31020100001122212122020
430001302123222000
5202422203241314
65533311041440
7635020556316
oct140162335200
936301585566
1012914899584
115528140234
122605210280
1312aa876c22
148a73360b6
15508c41da9
hex301c9ba80

12914899584 has 128 divisors (see below), whose sum is σ = 35515584000. Its totient is φ = 4153896960.

The previous prime is 12914899573. The next prime is 12914899597. The reversal of 12914899584 is 48599841921.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4629262 + ... + 4632050.

It is an arithmetic number, because the mean of its divisors is an integer number (277465500).

Almost surely, 212914899584 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 12914899584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757792000).

12914899584 is an abundant number, since it is smaller than the sum of its proper divisors (22600684416).

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

12914899584 is a wasteful number, since it uses less digits than its factorization.

12914899584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3214 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The spelling of 12914899584 in words is "twelve billion, nine hundred fourteen million, eight hundred ninety-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 389 496 744 778 992 1167 1488 1556 1984 2334 2789 2976 3112 3968 4668 5578 5952 6224 8367 9336 11156 11904 12059 12448 16734 18672 22312 24118 24896 33468 36177 37344 44624 48236 49792 66936 72354 74688 86459 89248 96472 133872 144708 149376 172918 178496 192944 259377 267744 289416 345836 356992 385888 518754 535488 578832 691672 771776 1037508 1070976 1084921 1157664 1383344 1543552 2075016 2169842 2315328 2766688 3254763 4150032 4339684 4630656 5533376 6509526 8300064 8679368 11066752 13019052 16600128 17358736 26038104 33200256 33632551 34717472 52076208 67265102 69434944 100897653 104152416 134530204 138869888 201795306 208304832 269060408 403590612 416609664 538120816 807181224 1076241632 1614362448 2152483264 3228724896 4304966528 6457449792 12914899584