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13505854321 = 412797117773
BaseRepresentation
bin11001001010000001…
…01111101101110001
31021212020122111010201
430211000233231301
5210124444314241
610112101155201
7655454603401
oct144500575561
937766574121
1013505854321
115800780283
12274b0bbb01
13137312669b
14921a06801
15540a74931
hex32502fb71

13505854321 has 8 divisors (see below), whose sum is σ = 13840329384. Its totient is φ = 13171620480.

The previous prime is 13505854309. The next prime is 13505854337. The reversal of 13505854321 is 12345850531.

13505854321 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 238270096 + 13267584225 = 15436^2 + 115185^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13505854321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13505854381) 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, 55791 + ... + 173563.

It is an arithmetic number, because the mean of its divisors is an integer number (1730041173).

Almost surely, 213505854321 is an apocalyptic number.

It is an amenable number.

13505854321 is a deficient number, since it is larger than the sum of its proper divisors (334475063).

13505854321 is a wasteful number, since it uses less digits than its factorization.

13505854321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120611.

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 13505854321 in words is "thirteen billion, five hundred five million, eight hundred fifty-four thousand, three hundred twenty-one".

Divisors: 1 41 2797 114677 117773 4828693 329411081 13505854321