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12806032050 = 23252710693803
BaseRepresentation
bin10111110110100110…
…01000101010110010
31020001110210211110100
423323103020222302
5202211321011200
65514421413230
7632226322260
oct137323105262
936043724410
1012806032050
115481742469
12259486a216
13129114a176
14896ab7430
154ee3d9d00
hex2fb4c8ab2

12806032050 has 144 divisors (see below), whose sum is σ = 39367748160. Its totient is φ = 2923585920.

The previous prime is 12806032037. The next prime is 12806032061. The reversal of 12806032050 is 5023060821.

12806032050 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 603 + 2 + 0 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3365449 + ... + 3369251.

It is an arithmetic number, because the mean of its divisors is an integer number (273387140).

Almost surely, 212806032050 is an apocalyptic number.

12806032050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12806032050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683874080).

12806032050 is an abundant number, since it is smaller than the sum of its proper divisors (26561716110).

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

12806032050 is a wasteful number, since it uses less digits than its factorization.

12806032050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12806032050 its reverse (5023060821), we get a palindrome (17829092871).

The spelling of 12806032050 in words is "twelve billion, eight hundred six million, thirty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1069 1575 2138 3150 3207 3803 5345 6414 7483 7606 9621 10690 11409 14966 16035 19015 19242 22449 22818 26621 26725 32070 34227 37415 38030 44898 48105 53242 53450 57045 67347 68454 74830 79863 80175 95075 96210 112245 114090 133105 134694 159726 160350 171135 187075 190150 224490 239589 240525 266210 285225 336735 342270 374150 399315 479178 481050 561225 570450 665525 673470 798630 855675 1122450 1197945 1331050 1683675 1711350 1996575 2395890 3367350 3993150 4065407 5989725 8130814 11979450 12196221 20327035 24392442 28457849 36588663 40654070 56915698 60981105 73177326 85373547 101635175 121962210 142289245 170747094 182943315 203270350 256120641 284578490 304905525 365886630 426867735 512241282 609811050 711446225 853735470 914716575 1280603205 1422892450 1829433150 2134338675 2561206410 4268677350 6403016025 12806032050