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12841032450 = 23521715133349
BaseRepresentation
bin10111111010110001…
…01001101100000010
31020010220200000222110
423331120221230002
5202244301014300
65522111520150
7633132655251
oct137530515402
936126600873
1012841032450
11549a478814
1225a4529056
13129848316c
1489b5c8798
15502500550
hex2fd629b02

12841032450 has 96 divisors (see below), whose sum is σ = 33943363200. Its totient is φ = 3201408000.

The previous prime is 12841032439. The next prime is 12841032461. The reversal of 12841032450 is 5423014821.

12841032450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12841032439) and next prime (12841032461).

It is a super-2 number, since 2×128410324502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 368376 + ... + 401724.

It is an arithmetic number, because the mean of its divisors is an integer number (353576700).

Almost surely, 212841032450 is an apocalyptic number.

12841032450 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 12841032450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971681600).

12841032450 is an abundant number, since it is smaller than the sum of its proper divisors (21102330750).

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

12841032450 is a wasteful number, since it uses less digits than its factorization.

12841032450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33532 (or 33527 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12841032450 in words is "twelve billion, eight hundred forty-one million, thirty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 151 170 255 302 425 453 510 755 850 906 1275 1510 2265 2550 2567 3775 4530 5134 7550 7701 11325 12835 15402 22650 25670 33349 38505 64175 66698 77010 100047 128350 166745 192525 200094 333490 385050 500235 566933 833725 1000470 1133866 1667450 1700799 2501175 2834665 3401598 5002350 5035699 5669330 8503995 10071398 14173325 15107097 17007990 25178495 28346650 30214194 42519975 50356990 75535485 85039950 85606883 125892475 151070970 171213766 251784950 256820649 377677425 428034415 513641298 755354850 856068830 1284103245 2140172075 2568206490 4280344150 6420516225 12841032450