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9941367744 = 2632721124171
BaseRepresentation
bin10010100001000110…
…10011101111000000
3221122211102210210100
421100203103233000
5130324442231434
64322250002400
7501233142300
oct112043235700
927584383710
109941367744
114241708800
121b15416400
13c257cbc29
146a445d600
153d2b7a699
hex2508d3bc0

9941367744 has 756 divisors, whose sum is σ = 37849082544. Its totient is φ = 2483712000.

The previous prime is 9941367731. The next prime is 9941367769. The reversal of 9941367744 is 4477631499.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 140019229 + ... + 140019299.

It is an arithmetic number, because the mean of its divisors is an integer number (50064924).

Almost surely, 29941367744 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 9941367744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924541272).

9941367744 is an abundant number, since it is smaller than the sum of its proper divisors (27907714800).

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

9941367744 is a wasteful number, since it uses less digits than its factorization.

9941367744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 9941367744 is about 99706.4077379182. The cubic root of 9941367744 is about 2150.2157882566.

The spelling of 9941367744 in words is "nine billion, nine hundred forty-one million, three hundred sixty-seven thousand, seven hundred forty-four".