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56340133104365 = 51171911909119633
BaseRepresentation
bin11001100111101101101011…
…00111101100101011101101
321101111001201202010210010222
430303312311213230223231
524341034043033314430
6315454144433141125
714603304006546065
oct1463666547545355
9241431652123128
1056340133104365
1116a51797398090
12639b1186ba7a5
132558b0c3c86b6
14dcac3c6743a5
1567a8097d19e5
hex333db59ecaed

56340133104365 has 32 divisors (see below), whose sum is σ = 73863754329600. Its totient is φ = 40913876024320.

The previous prime is 56340133104347. The next prime is 56340133104377.

It is a happy number.

56340133104365 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56340133104365 - 28 = 56340133104109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470881589 + ... + 471001221.

It is an arithmetic number, because the mean of its divisors is an integer number (2308242322800).

Almost surely, 256340133104365 is an apocalyptic number.

56340133104365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56340133104365 is a deficient number, since it is larger than the sum of its proper divisors (17523621225235).

56340133104365 is a wasteful number, since it uses less digits than its factorization.

56340133104365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132277.

The product of its (nonzero) digits is 1166400, while the sum is 44.

It can be divided in two parts, 5634013 and 3104365, that added together give a palindrome (8738378).

The spelling of 56340133104365 in words is "fifty-six trillion, three hundred forty billion, one hundred thirty-three million, one hundred four thousand, three hundred sixty-five".

Divisors: 1 5 11 55 719 3595 7909 11909 39545 59545 119633 130999 598165 654995 1315963 6579815 8562571 42812855 86016127 94188281 430080635 470941405 946177397 1424709397 4730886985 7123546985 15671803367 78359016835 1024366056443 5121830282215 11268026620873 56340133104365