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9118291142016 = 273273126119289
BaseRepresentation
bin1000010010110000010010…
…0000010010010110000000
31012021200220101110110101100
42010230010200102112000
52143343230013021031
631220515104134400
71630526516613360
oct204540440222600
935250811413340
109118291142016
1129a60556aaa21
121033229307400
13511b0b018994
142374830bc9a0
1510c2c362dde6
hex84b04812580

9118291142016 has 576 divisors, whose sum is σ = 31495367872800. Its totient is φ = 2479727001600.

The previous prime is 9118291141997. The next prime is 9118291142063. The reversal of 9118291142016 is 6102411928119.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472710100 + ... + 472729388.

Almost surely, 29118291142016 is an apocalyptic number.

9118291142016 is a gapful number since it is divisible by the number (96) 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 9118291142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747683936400).

9118291142016 is an abundant number, since it is smaller than the sum of its proper divisors (22377076730784).

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

9118291142016 is a wasteful number, since it uses less digits than its factorization.

9118291142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19439 (or 19393 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 9118291142016 in words is "nine trillion, one hundred eighteen billion, two hundred ninety-one million, one hundred forty-two thousand, sixteen".