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22416066848 = 25721921992
BaseRepresentation
bin10100111000000110…
…100000100100100000
32010212012210011220002
4110320012200210200
5331402003114343
614144154035132
71422330265400
oct247006404440
963765704802
1022416066848
11956331588a
124417118aa8
1321630ca6a6
141129128800
158b2e178b8
hex5381a0920

22416066848 has 162 divisors, whose sum is σ = 54454573971. Its totient is φ = 9055525248.

The previous prime is 22416066793. The next prime is 22416066853. The reversal of 22416066848 is 84866061422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11208033424 + 11208033424 = 105868^2 + 105868^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105868.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112643453 + ... + 112643651.

Almost surely, 222416066848 is an apocalyptic number.

22416066848 is a gapful number since it is divisible by the number (28) 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 22416066848

22416066848 is an abundant number, since it is smaller than the sum of its proper divisors (32038507123).

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

22416066848 is an equidigital number, since it uses as much as digits as its factorization.

22416066848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 22416066848 in words is "twenty-two billion, four hundred sixteen million, sixty-six thousand, eight hundred forty-eight".