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9989433216 = 273473532
BaseRepresentation
bin10010100110110101…
…01010011110000000
3221210011212210020000
421103122222132000
5130424243330331
64331124120000
7502355532000
oct112332523600
927704783200
109989433216
114266858034
121b29536000
13c3275a939
146aa9b2000
153d6ec20e6
hex2536aa780

9989433216 has 480 divisors, whose sum is σ = 35335146000. Its totient is φ = 2800272384.

The previous prime is 9989433169. The next prime is 9989433229. The reversal of 9989433216 is 6123349899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 188479846 + ... + 188479898.

Almost surely, 29989433216 is an apocalyptic number.

9989433216 is a gapful number since it is divisible by the number (96) 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 9989433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17667573000).

9989433216 is an abundant number, since it is smaller than the sum of its proper divisors (25345712784).

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

9989433216 is an frugal number, since it uses more digits than its factorization.

9989433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 65 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 9989433216 is about 99947.1521155055. The cubic root of 9989433216 is about 2153.6755743883.

The spelling of 9989433216 in words is "nine billion, nine hundred eighty-nine million, four hundred thirty-three thousand, two hundred sixteen".