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99896981184 = 2637711132331
BaseRepresentation
bin101110100001001010…
…0101111011011000000
3100112211222210110000000
41131002110233123000
53114042111344214
6113520403000000
710134353221050
oct1350224573300
9315758713000
1099896981184
1139403272590
121743b369000
13956037cb70
144b994c5560
1528ea18a809
hex174252f6c0

99896981184 has 1792 divisors, whose sum is σ = 429969899520. Its totient is φ = 22170931200.

The previous prime is 99896981183. The next prime is 99896981201. The reversal of 99896981184 is 48118969899.

It is a super-3 number, since 3×998969811843 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (99896981183) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3222483249 + ... + 3222483279.

It is an arithmetic number, because the mean of its divisors is an integer number (239938560).

Almost surely, 299896981184 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 99896981184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214984949760).

99896981184 is an abundant number, since it is smaller than the sum of its proper divisors (330072918336).

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

99896981184 is a wasteful number, since it uses less digits than its factorization.

99896981184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 72.

The spelling of 99896981184 in words is "ninety-nine billion, eight hundred ninety-six million, nine hundred eighty-one thousand, one hundred eighty-four".