Search a number
-
+
13282930430760 = 2335476413674149
BaseRepresentation
bin1100000101001010110001…
…0110011001001100101000
31202000211120021000121001110
43001102230112121030220
53220111420142241020
644130032145350320
72540442253522044
oct301225426311450
952024507017043
1013282930430760
114261293a40a81
1215a63a26383a0
137547622761a3
1433cc7c139024
151807bd4ca8e0
hexc14ac599328

13282930430760 has 128 divisors (see below), whose sum is σ = 40760138304000. Its totient is φ = 3461341347840.

The previous prime is 13282930430729. The next prime is 13282930430789. The reversal of 13282930430760 is 6703403928231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1778166 + ... + 5452314.

It is an arithmetic number, because the mean of its divisors is an integer number (318438580500).

Almost surely, 213282930430760 is an apocalyptic number.

13282930430760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13282930430760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20380069152000).

13282930430760 is an abundant number, since it is smaller than the sum of its proper divisors (27477207873240).

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

13282930430760 is a wasteful number, since it uses less digits than its factorization.

13282930430760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674851 (or 3674847 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 13282930430760 in words is "thirteen trillion, two hundred eighty-two billion, nine hundred thirty million, four hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 641 705 940 1128 1282 1410 1880 1923 2564 2820 3205 3846 5128 5640 6410 7692 9615 12820 15384 19230 25640 30127 38460 60254 76920 90381 120508 150635 180762 241016 301270 361524 451905 602540 723048 903810 1205080 1807620 3615240 3674149 7348298 11022447 14696596 18370745 22044894 29393192 36741490 44089788 55112235 73482980 88179576 110224470 146965960 172685003 220448940 345370006 440897880 518055009 690740012 863425015 1036110018 1381480024 1726850030 2072220036 2355129509 2590275045 3453700060 4144440072 4710259018 5180550090 6907400120 7065388527 9420518036 10361100180 11775647545 14130777054 18841036072 20722200360 23551295090 28261554108 35326942635 47102590180 56523108216 70653885270 94205180360 110691086923 141307770540 221382173846 282615541080 332073260769 442764347692 553455434615 664146521538 885528695384 1106910869230 1328293043076 1660366303845 2213821738460 2656586086152 3320732607690 4427643476920 6641465215380 13282930430760