Search a number
-
+
13542235252 = 22721349910651
BaseRepresentation
bin11001001110010111…
…00001110001110100
31021221210002211101121
430213023201301310
5210213303012002
610115441033324
7656406046300
oct144713416164
937853084347
1013542235252
11581a269867
12275b325844
13137a823b70
14926796d00
15543d5e237
hex3272e1c74

13542235252 has 72 divisors (see below), whose sum is σ = 29751036000. Its totient is φ = 5346129600.

The previous prime is 13542235219. The next prime is 13542235279. The reversal of 13542235252 is 25253224531.

13542235252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1266127 + ... + 1276777.

Almost surely, 213542235252 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 13542235252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875518000).

13542235252 is an abundant number, since it is smaller than the sum of its proper divisors (16208800748).

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

13542235252 is a wasteful number, since it uses less digits than its factorization.

13542235252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11181 (or 11172 counting only the distinct ones).

The product of its digits is 72000, while the sum is 34.

Adding to 13542235252 its reverse (25253224531), we get a palindrome (38795459783).

The spelling of 13542235252 in words is "thirteen billion, five hundred forty-two million, two hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 499 637 998 1274 1996 2548 3493 6487 6986 10651 12974 13972 21302 24451 25948 42604 45409 48902 74557 90818 97804 138463 149114 181636 276926 298228 317863 521899 553852 635726 969241 1043798 1271452 1938482 2087596 3876964 5314849 6784687 10629698 13569374 21259396 27138748 37203943 69093037 74407886 138186074 148815772 260427601 276372148 483651259 520855202 967302518 1041710404 1934605036 3385558813 6771117626 13542235252