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99881606880 = 2532511172316127
BaseRepresentation
bin101110100000101101…
…0000101111011100000
3100112210220212100102100
41131001122011323200
53114024142410010
6113515053250400
710134105436026
oct1350132057340
9315726770370
1099881606880
11393a5621650
1217436193a00
13955a129043
144b97442716
1528e8b502c0
hex1741685ee0

99881606880 has 576 divisors, whose sum is σ = 410847510528. Its totient is φ = 21797191680.

The previous prime is 99881606879. The next prime is 99881606921. The reversal of 99881606880 is 8860618899.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6185377 + ... + 6201503.

It is an arithmetic number, because the mean of its divisors is an integer number (713276928).

Almost surely, 299881606880 is an apocalyptic number.

99881606880 is a gapful number since it is divisible by the number (90) 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 99881606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205423755264).

99881606880 is an abundant number, since it is smaller than the sum of its proper divisors (310965903648).

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

99881606880 is a wasteful number, since it uses less digits than its factorization.

99881606880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16199 (or 16188 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 99881606880 in words is "ninety-nine billion, eight hundred eighty-one million, six hundred six thousand, eight hundred eighty".