Search a number
-
+
13536463050 = 23252114436173
BaseRepresentation
bin11001001101101011…
…00000100011001010
31021221101020120102100
430212311200203022
5210210313304200
610115113214230
7656306015565
oct144665404312
937841216370
1013536463050
115816a87050
122759401376
131379582766
14925ad34dc
155435bdd00
hex326d608ca

13536463050 has 144 divisors (see below), whose sum is σ = 39770142048. Its totient is φ = 3273628800.

The previous prime is 13536463019. The next prime is 13536463051. The reversal of 13536463050 is 5036463531.

13536463050 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 646 + 3 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13536462996 and 13536463014.

It is not an unprimeable number, because it can be changed into a prime (13536463051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2189764 + ... + 2195936.

It is an arithmetic number, because the mean of its divisors is an integer number (276181542).

Almost surely, 213536463050 is an apocalyptic number.

13536463050 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 13536463050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19885071024).

13536463050 is an abundant number, since it is smaller than the sum of its proper divisors (26233678998).

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

13536463050 is a wasteful number, since it uses less digits than its factorization.

13536463050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 13536463050 in words is "thirteen billion, five hundred thirty-six million, four hundred sixty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 443 450 495 550 825 886 990 1329 1650 2215 2475 2658 3987 4430 4873 4950 6173 6645 7974 9746 11075 12346 13290 14619 18519 19935 22150 24365 29238 30865 33225 37038 39870 43857 48730 55557 61730 66450 67903 73095 87714 92595 99675 111114 121825 135806 146190 154325 185190 199350 203709 219285 243650 277785 308650 339515 365475 407418 438570 462975 555570 611127 679030 730950 925950 1018545 1096425 1222254 1388925 1697575 2037090 2192850 2734639 2777850 3055635 3395150 5092725 5469278 6111270 8203917 10185450 13673195 15278175 16407834 24611751 27346390 30081029 30556350 41019585 49223502 60162058 68365975 82039170 90243087 123058755 136731950 150405145 180486174 205097925 246117510 270729261 300810290 410195850 451215435 541458522 615293775 752025725 902430870 1230587550 1353646305 1504051450 2256077175 2707292610 4512154350 6768231525 13536463050