Search a number
-
+
56355333355365 = 3511609615602721
BaseRepresentation
bin11001101000001001111111…
…01000000011011101100101
321101112111222002002112120020
430310010333220003131211
524341311210314332430
6315505141023225353
714604352460546502
oct1464047750033545
9241474862075506
1056355333355365
1116a581875536a0
1263a205b148259
13255a392589065
14dcb8813044a9
1567ade8e9eb10
hex33413fa03765

56355333355365 has 32 divisors (see below), whose sum is σ = 98367303906432. Its totient is φ = 27323344896000.

The previous prime is 56355333355337. The next prime is 56355333355393.

56355333355365 is nontrivially palindromic in base 10.

56355333355365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56355333355337) and next prime (56355333355393).

It is not a de Polignac number, because 56355333355365 - 211 = 56355333353317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56355333355299 and 56355333355308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7257205 + ... + 12859925.

It is an arithmetic number, because the mean of its divisors is an integer number (3073978247076).

Almost surely, 256355333355365 is an apocalyptic number.

56355333355365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56355333355365 is a deficient number, since it is larger than the sum of its proper divisors (42011970551067).

56355333355365 is a wasteful number, since it uses less digits than its factorization.

56355333355365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663701.

The product of its digits is 410062500, while the sum is 60.

The spelling of 56355333355365 in words is "fifty-six trillion, three hundred fifty-five billion, three hundred thirty-three million, three hundred fifty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 60961 182883 304805 670571 914415 2011713 3352855 5602721 10058565 16808163 28013605 61629931 84040815 184889793 308149655 924448965 341547474881 1024642424643 1707737374405 3757022223691 5123212123215 11271066671073 18785111118455 56355333355365