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221116314380544 = 2832112793145641
BaseRepresentation
bin110010010001101010100111…
…010111110110100100000000
31001222220111212010112201210100
4302101222213113312210000
5212440232202440134134
62102135233231002400
764401061254116562
oct6221524727664400
91058814763481710
10221116314380544
11644aa9a1a82a00
12209719a6369400
13964c24329859b
143c8612dd55332
151a86b21cbb999
hexc91aa75f6900

221116314380544 has 162 divisors, whose sum is σ = 700759244474198. Its totient is φ = 67004943667200.

The previous prime is 221116314380503. The next prime is 221116314380551. The reversal of 221116314380544 is 445083413611122.

It is a happy number.

221116314380544 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 1 + 63 + 1 + 43 + 8 + 0 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165691267340544 + 55425047040000 = 12872112^2 + 7444800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221116314380544.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 396294037 + ... + 396851604.

Almost surely, 2221116314380544 is an apocalyptic number.

221116314380544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221116314380544 is an abundant number, since it is smaller than the sum of its proper divisors (479642930093654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221116314380544 is a wasteful number, since it uses less digits than its factorization.

221116314380544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793145685 (or 793145657 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 221116314380544 its reverse (445083413611122), we get a palindrome (666199727991666).

The spelling of 221116314380544 in words is "two hundred twenty-one trillion, one hundred sixteen billion, three hundred fourteen million, three hundred eighty thousand, five hundred forty-four".