Search a number
-
+
13503017268 = 22321328852601
BaseRepresentation
bin11001001001101011…
…11011000100110100
31021212001022100102200
430210311323010310
5210123233023033
610111520304500
7655421516166
oct144465730464
937761270380
1013503017268
1157aa112804
12274a172130
131372672260
149214a8936
155406b4013
hex324d7b134

13503017268 has 36 divisors (see below), whose sum is σ = 36758214948. Its totient is φ = 4154774400.

The previous prime is 13503017267. The next prime is 13503017287. The reversal of 13503017268 is 86271030531.

13503017268 is a `hidden beast` number, since 1 + 350 + 30 + 17 + 268 = 666.

13503017268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1712966544 + 11790050724 = 41388^2 + 108582^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13503017267) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14425833 + ... + 14426768.

Almost surely, 213503017268 is an apocalyptic number.

13503017268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13503017268 is an abundant number, since it is smaller than the sum of its proper divisors (23255197680).

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

13503017268 is a wasteful number, since it uses less digits than its factorization.

13503017268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28852624 (or 28852619 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 13503017268 its reverse (86271030531), we get a palindrome (99774047799).

The spelling of 13503017268 in words is "thirteen billion, five hundred three million, seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 28852601 57705202 86557803 115410404 173115606 259673409 346231212 375083813 519346818 750167626 1038693636 1125251439 1500335252 2250502878 3375754317 4501005756 6751508634 13503017268