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8906022245120 = 2857111322711973
BaseRepresentation
bin1000000110011001100001…
…0010101101001100000000
31011112102000000002020100012
42001212120102231030000
52131404013143320440
630535211541044052
71606303351014560
oct201463022551400
934472000066305
108906022245120
112924028417a10
12bba0689b6628
134c7aacc37300
1422b0a77c4da0
151069ed020e65
hex819984ad300

8906022245120 has 864 divisors, whose sum is σ = 28920814884864. Its totient is φ = 2551622860800.

The previous prime is 8906022245111. The next prime is 8906022245167. The reversal of 8906022245120 is 215422206098.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4513948454 + ... + 4513950426.

It is an arithmetic number, because the mean of its divisors is an integer number (33473165376).

Almost surely, 28906022245120 is an apocalyptic number.

8906022245120 is a gapful number since it is divisible by the number (80) 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 8906022245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14460407442432).

8906022245120 is an abundant number, since it is smaller than the sum of its proper divisors (20014792639744).

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

8906022245120 is a wasteful number, since it uses less digits than its factorization.

8906022245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 8906022245120 in words is "eight trillion, nine hundred six billion, twenty-two million, two hundred forty-five thousand, one hundred twenty".