Search a number
-
+
13572690053 = 137314302097
BaseRepresentation
bin11001010001111111…
…01101000010000101
31022000220102002112012
430220333231002011
5210244102040203
610122445504005
7660225650636
oct145077550205
938026362465
1013572690053
11583547aa1a
122769572005
131383c27b60
1492a84388d
15546877bd8
hex328fed085

13572690053 has 8 divisors (see below), whose sum is σ = 14816973528. Its totient is φ = 12357010944.

The previous prime is 13572690049. The next prime is 13572690077. The reversal of 13572690053 is 35009627531.

It is a happy number.

13572690053 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 4 ways, for example, as 672727969 + 12899962084 = 25937^2 + 113578^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13572690053 - 22 = 13572690049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13572690653) 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 7 ways as a sum of consecutive naturals, for example, 7150100 + ... + 7151997.

It is an arithmetic number, because the mean of its divisors is an integer number (1852121691).

Almost surely, 213572690053 is an apocalyptic number.

13572690053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13572690053 is a deficient number, since it is larger than the sum of its proper divisors (1244283475).

13572690053 is a wasteful number, since it uses less digits than its factorization.

13572690053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14302183.

The product of its (nonzero) digits is 170100, while the sum is 41.

The spelling of 13572690053 in words is "thirteen billion, five hundred seventy-two million, six hundred ninety thousand, fifty-three".

Divisors: 1 13 73 949 14302097 185927261 1044053081 13572690053