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2216651913216 = 21133133783341
BaseRepresentation
bin100000010000011010101…
…111111111100000000000
321211220120021122101002000
4200100122233333200000
5242304200342210331
64414152115224000
7316101462245016
oct40203257774000
97756507571060
102216651913216
11785093242934
122b97282a8000
1313104c710520
14794023208b6
153c9d82bc0e6
hex2041abff800

2216651913216 has 384 divisors, whose sum is σ = 7262555227200. Its totient is φ = 663605084160.

The previous prime is 2216651913191. The next prime is 2216651913239. The reversal of 2216651913216 is 6123191566122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 26555706 + ... + 26639046.

Almost surely, 22216651913216 is an apocalyptic number.

2216651913216 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 2216651913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631277613600).

2216651913216 is an abundant number, since it is smaller than the sum of its proper divisors (5045903313984).

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

2216651913216 is a wasteful number, since it uses less digits than its factorization.

2216651913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83422 (or 83396 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 2216651913216 in words is "two trillion, two hundred sixteen billion, six hundred fifty-one million, nine hundred thirteen thousand, two hundred sixteen".