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9009910990000 = 24543132299001
BaseRepresentation
bin1000001100011100100010…
…0010110100010010110000
31011220100011012002021201001
42003013020202310102300
52140104244203140000
631055032421251344
71616641664536654
oct203071042642260
934810135067631
109009910990000
112964099958658
121016220b63b54
135048282b3a0b
142321210b8a64
1510957d85646a
hex831c88b44b0

9009910990000 has 200 divisors, whose sum is σ = 22527045537920. Its totient is φ = 3486240000000.

The previous prime is 9009910989991. The next prime is 9009910990007. The reversal of 9009910990000 is 990199009.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (9009910990007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1000985500 + ... + 1000994500.

Almost surely, 29009910990000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9009910990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11263522768960).

9009910990000 is an abundant number, since it is smaller than the sum of its proper divisors (13517134547920).

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

9009910990000 is a wasteful number, since it uses less digits than its factorization.

9009910990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 46.

The spelling of 9009910990000 in words is "nine trillion, nine billion, nine hundred ten million, nine hundred ninety thousand".