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56344488444365 = 5116756592701931
BaseRepresentation
bin11001100111110101110010…
…01110000000000111001101
321101111110222021110222102212
430303322321032000013031
524341122003020204430
6315500144535200205
714603516643410252
oct1463727116000715
9241443867428385
1056344488444365
1116a53621913530
12639bb33216065
132559354822a64
14dcb132c85429
1567a9b1d47b95
hex333eb93801cd

56344488444365 has 32 divisors (see below), whose sum is σ = 74874210347520. Its totient is φ = 40359052641600.

The previous prime is 56344488444353. The next prime is 56344488444403.

56344488444365 is nontrivially palindromic in base 10.

56344488444365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56344488444365 - 26 = 56344488444301 is a prime.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 56344488444295 and 56344488444304.

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, 19502450 + ... + 22204380.

It is an arithmetic number, because the mean of its divisors is an integer number (2339819073360).

Almost surely, 256344488444365 is an apocalyptic number.

56344488444365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56344488444365 is a deficient number, since it is larger than the sum of its proper divisors (18529721903155).

56344488444365 is a wasteful number, since it uses less digits than its factorization.

56344488444365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707673.

The product of its digits is 2123366400, while the sum is 68.

The spelling of 56344488444365 in words is "fifty-six trillion, three hundred forty-four billion, four hundred eighty-eight million, four hundred forty-four thousand, three hundred sixty-five".

Divisors: 1 5 11 55 67 335 737 3685 5659 28295 62249 311245 379153 1895765 2701931 4170683 13509655 20853415 29721241 148606205 181029377 905146885 1991323147 9956615735 15290227529 76451137645 168192502819 840962514095 1024445244443 5122226222215 11268897688873 56344488444365