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2105800684416 = 27321113293159241
BaseRepresentation
bin11110101001001011100…
…000000111001110000000
321110022102212111111022100
4132221023200013032000
5234000134433400131
64251220320510400
7305065463324652
oct36511340071600
97408385444270
102105800684416
11742079651a50
122a015047b400
13123764a64c50
1473cc80786d2
1539b9b5cd7e6
hex1ea4b807380

2105800684416 has 1536 divisors, whose sum is σ = 7763019264000. Its totient is φ = 538804224000.

The previous prime is 2105800684409. The next prime is 2105800684433. The reversal of 2105800684416 is 6144860085012.

It is a happy number.

2105800684416 is a `hidden beast` number, since 2 + 1 + 0 + 580 + 0 + 68 + 4 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×21058006844162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8737762056 + ... + 8737762296.

It is an arithmetic number, because the mean of its divisors is an integer number (5054049000).

Almost surely, 22105800684416 is an apocalyptic number.

2105800684416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105800684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881509632000).

2105800684416 is an abundant number, since it is smaller than the sum of its proper divisors (5657218579584).

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

2105800684416 is a wasteful number, since it uses less digits than its factorization.

2105800684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2105800684416 in words is "two trillion, one hundred five billion, eight hundred million, six hundred eighty-four thousand, four hundred sixteen".