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21984479715121 = 7411286992
BaseRepresentation
bin1001111111110101010010…
…00110101001111100110001
32212211200210012011012020221
410333322221012221330301
510340143203301340441
6114431310333333041
74426216621210000
oct477725106517461
985750705135227
1021984479715121
117006624735100
1225708a5937181
13c36187293c91
145600a9770c37
15281d0052a8d1
hex13fea91a9f31

21984479715121 has 45 divisors (see below), whose sum is σ = 28193782105433. Its totient is φ = 17128794134760.

The previous prime is 21984479715097. The next prime is 21984479715137. The reversal of 21984479715121 is 12151797448912.

The square root of 21984479715121 is 4688761.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 21984479715121 - 213 = 21984479706929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21984479715121.

It is not an unprimeable number, because it can be changed into a prime (21984479715181) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2527237830 + ... + 2527246528.

Almost surely, 221984479715121 is an apocalyptic number.

21984479715121 is the 4688761-st square number.

21984479715121 is the 2344381-st centered octagonal number.

It is an amenable number.

21984479715121 is a deficient number, since it is larger than the sum of its proper divisors (6209302390312).

21984479715121 is an frugal number, since it uses more digits than its factorization.

21984479715121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17448 (or 8717 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 61.

The spelling of 21984479715121 in words is "twenty-one trillion, nine hundred eighty-four billion, four hundred seventy-nine million, seven hundred fifteen thousand, one hundred twenty-one".

Divisors: 1 7 11 49 77 121 343 539 847 2401 3773 5929 8699 26411 41503 60893 95689 290521 426251 669823 1052579 2983757 4688761 7368053 20886299 32821327 51576371 75672601 229749289 361034597 529708207 832398611 2527242179 3707957449 5826790277 9156384721 25955702143 40787531939 64094693047 181689915001 285512723573 448662851329 1998589065011 3140639959303 21984479715121