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99821185344 = 26321713217717
BaseRepresentation
bin101110011110111001…
…1100110100101000000
3100112122201011121122200
41130331303212211000
53113413210412334
6113505054233200
710132443034656
oct1347563464500
9315581147580
1099821185344
1139374502aa1
1217419ab5800
13954a76225a
144b8d3d4dd6
1528e36b7799
hex173dce6940

99821185344 has 168 divisors, whose sum is σ = 303218578728. Its totient is φ = 31288688640.

The previous prime is 99821185313. The next prime is 99821185363. The reversal of 99821185344 is 44358112899.

It is a happy number.

99821185344 is a `hidden beast` number, since 9 + 9 + 8 + 211 + 85 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50409230400 + 49411954944 = 224520^2 + 222288^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12931374 + ... + 12939090.

Almost surely, 299821185344 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 99821185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151609289364).

99821185344 is an abundant number, since it is smaller than the sum of its proper divisors (203397393384).

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

99821185344 is a wasteful number, since it uses less digits than its factorization.

99821185344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073 (or 9060 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 99821185344 in words is "ninety-nine billion, eight hundred twenty-one million, one hundred eighty-five thousand, three hundred forty-four".