Search a number
-
+
13461476476 = 2272997277617
BaseRepresentation
bin11001000100101110…
…11101010001111100
31021202011010212011211
430202113131101330
5210032114221401
610103434054204
7654405443050
oct144227352174
937664125154
1013461476476
11578871a578
12273827a364
131366b892c6
14919b73c60
1553bc0a951
hex3225dd47c

13461476476 has 96 divisors (see below), whose sum is σ = 28285810560. Its totient is φ = 5484036096.

The previous prime is 13461476473. The next prime is 13461476507. The reversal of 13461476476 is 67467416431.

It is a super-2 number, since 2×134614764762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13461476473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21817320 + ... + 21817936.

It is an arithmetic number, because the mean of its divisors is an integer number (294643860).

Almost surely, 213461476476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13461476476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142905280).

13461476476 is an abundant number, since it is smaller than the sum of its proper divisors (14824334084).

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

13461476476 is a wasteful number, since it uses less digits than its factorization.

13461476476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 49.

The spelling of 13461476476 in words is "thirteen billion, four hundred sixty-one million, four hundred seventy-six thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 58 97 116 194 203 277 388 406 554 617 679 812 1108 1234 1358 1939 2468 2716 2813 3878 4319 5626 7756 8033 8638 11252 16066 17276 17893 19691 26869 32132 35786 39382 53738 56231 59849 71572 78764 107476 112462 119698 125251 170909 188083 224924 239396 250502 341818 376166 418943 501004 683636 752332 779201 837886 1196363 1558402 1675772 1735621 2392726 3116804 3471242 4785452 4956361 5454407 6942484 9912722 10908814 12149347 16578173 19825444 21817628 24298694 33156346 34694527 48597388 66312692 69389054 116047211 138778108 232094422 464188844 480767017 961534034 1923068068 3365369119 6730738238 13461476476