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4222663688880 = 2434571329246929
BaseRepresentation
bin111101011100101010010…
…111101000001010110000
3112221200102200201001220000
4331130222113220022300
51023141003401021010
612551510453350000
7614035354064610
oct75345227501260
915850380631800
104222663688880
11138890462775a
12582469638300
132482706044b0
141085413a6a40
1574c93e5b7c0
hex3d72a5e82b0

4222663688880 has 800 divisors, whose sum is σ = 18672886108800. Its totient is φ = 860210233344.

The previous prime is 4222663688819. The next prime is 4222663688899. The reversal of 4222663688880 is 888863662224.

4222663688880 is a `hidden beast` number, since 4 + 2 + 2 + 266 + 368 + 8 + 8 + 8 + 0 = 666.

4222663688880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16977256 + ... + 17224184.

It is an arithmetic number, because the mean of its divisors is an integer number (23341107636).

Almost surely, 24222663688880 is an apocalyptic number.

4222663688880 is a gapful number since it is divisible by the number (40) 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 4222663688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336443054400).

4222663688880 is an abundant number, since it is smaller than the sum of its proper divisors (14450222419920).

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

4222663688880 is a wasteful number, since it uses less digits than its factorization.

4222663688880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247003 (or 246988 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 4222663688880 in words is "four trillion, two hundred twenty-two billion, six hundred sixty-three million, six hundred eighty-eight thousand, eight hundred eighty".