Search a number
-
+
17210341136 = 24171371932393
BaseRepresentation
bin10000000001110100…
…001111011100010000
31122102102021220201002
4100001310033130100
5240221321404021
611523433201132
71146326325452
oct200164173420
948372256632
1017210341136
11733187502a
1234038601a8
13181375b611
14b939d42d2
156aadc550b
hex401d0f710

17210341136 has 80 divisors (see below), whose sum is σ = 35763429744. Its totient is φ = 7994867712.

The previous prime is 17210341129. The next prime is 17210341147. The reversal of 17210341136 is 63114301271.

It can be written as a sum of positive squares in 8 ways, for example, as 1172651536 + 16037689600 = 34244^2 + 126640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 17210341099 and 17210341108.

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, 7190756 + ... + 7193148.

Almost surely, 217210341136 is an apocalyptic number.

17210341136 is a gapful number since it is divisible by the number (16) 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 17210341136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881714872).

17210341136 is an abundant number, since it is smaller than the sum of its proper divisors (18553088608).

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

17210341136 is a wasteful number, since it uses less digits than its factorization.

17210341136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 17210341136 in words is "seventeen billion, two hundred ten million, three hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 137 193 272 274 386 548 772 1096 1544 2192 2329 2393 3088 3281 4658 4786 6562 9316 9572 13124 18632 19144 26248 26441 37264 38288 40681 52496 52882 81362 105764 162724 211528 325448 327841 423056 449497 461849 650896 655682 898994 923698 1311364 1797988 1847396 2622728 3595976 3694792 5245456 5573297 7191952 7389584 7851433 11146594 15702866 22293188 31405732 44586376 62811464 63273313 89172752 125622928 126546626 253093252 506186504 1012373008 1075646321 2151292642 4302585284 8605170568 17210341136