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56344444365 = 3511316211741
BaseRepresentation
bin110100011110011000…
…111111110111001101
312101102202000100010210
4310132120333313031
51410343134204430
641515000553033
74033160606046
oct643630776715
9171382010123
1056344444365
1121993a74000
12ab05782779
13540c2c8011
142a271a18cd
1516eb86a2b0
hexd1e63fdcd

56344444365 has 64 divisors (see below), whose sum is σ = 99277611264. Its totient is φ = 27285984000.

The previous prime is 56344444361. The next prime is 56344444379.

56344444365 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56344444365 - 22 = 56344444361 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56344444361) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32362395 + ... + 32364135.

It is an arithmetic number, because the mean of its divisors is an integer number (1551212676).

Almost surely, 256344444365 is an apocalyptic number.

56344444365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56344444365 is a deficient number, since it is larger than the sum of its proper divisors (42933166899).

56344444365 is a wasteful number, since it uses less digits than its factorization.

56344444365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3381 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 56344444365 in words is "fifty-six billion, three hundred forty-four million, four hundred forty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1331 1621 1741 1815 3993 4863 5223 6655 8105 8705 17831 19151 19965 24315 26115 53493 57453 89155 95755 196141 210661 267465 287265 588423 631983 980705 1053305 2157551 2317271 2822161 2942115 3159915 6472653 6951813 8466483 10787755 11586355 14110805 31043771 32363265 34759065 42332415 93131313 155218855 341481481 465656565 1024444443 1707407405 3756296291 5122222215 11268888873 18781481455 56344444365