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9991395480 = 233511193171181
BaseRepresentation
bin10010100111000100…
…01001100010011000
3221210022120110221110
421103202021202120
5130430244123410
64331234140320
7502411313613
oct112342114230
927708513843
109991395480
114267978340
121b2a1216a0
13c32c96b41
146aad6317a
153d725d720
hex253889898

9991395480 has 512 divisors, whose sum is σ = 36229939200. Its totient is φ = 2177280000.

The previous prime is 9991395473. The next prime is 9991395481. The reversal of 9991395480 is 845931999.

9991395480 is a nontrivial binomial coefficient, being equal to C(141361, 2).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 9991395480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9991395481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55200990 + ... + 55201170.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

Almost surely, 29991395480 is an apocalyptic number.

9991395480 is the 141360-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9991395480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18114969600).

9991395480 is an abundant number, since it is smaller than the sum of its proper divisors (26238543720).

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

9991395480 is a wasteful number, since it uses less digits than its factorization.

9991395480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The square root of 9991395480 is about 99956.9681412957. The cubic root of 9991395480 is about 2153.8165835017.

The spelling of 9991395480 in words is "nine billion, nine hundred ninety-one million, three hundred ninety-five thousand, four hundred eighty".