Search a number
-
+
3505332335053 = 171791619711509
BaseRepresentation
bin110011000000100110000…
…101101011000111001101
3110102002212122012200020111
4303000212011223013031
5424412410034210203
611242154421120021
7511152255142663
oct63004605530715
913362778180214
103505332335053
11113166a7a044a
12487434859011
131c5722619103
14c19323aac33
15612ad57826d
hex3302616b1cd

3505332335053 has 16 divisors (see below), whose sum is σ = 3734573688000. Its totient is φ = 3278674400512.

The previous prime is 3505332335039. The next prime is 3505332335177.

3505332335053 is nontrivially palindromic in base 10.

3505332335053 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3505332335053 - 213 = 3505332326861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3505332334997 and 3505332335015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505332335653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4570863 + ... + 5282371.

It is an arithmetic number, because the mean of its divisors is an integer number (233410855500).

Almost surely, 23505332335053 is an apocalyptic number.

It is an amenable number.

3505332335053 is a deficient number, since it is larger than the sum of its proper divisors (229241352947).

3505332335053 is a wasteful number, since it uses less digits than its factorization.

3505332335053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713324.

The product of its (nonzero) digits is 911250, while the sum is 40.

The spelling of 3505332335053 in words is "three trillion, five hundred five billion, three hundred thirty-two million, three hundred thirty-five thousand, fifty-three".

Divisors: 1 17 179 1619 3043 27523 289801 711509 4926617 12095653 127360111 1151933071 2165121887 19582862207 206196019709 3505332335053