Search a number
-
+
9998045100 = 2232521719163211
BaseRepresentation
bin10010100111110111…
…00000111110101100
3221210210002022111200
421103323200332230
5130433444420400
64332032445500
7502521660351
oct112373407654
927723068450
109998045100
1142706aa29a
121b303a9890
13c34484724
146abbb4628
153d7b23b00
hex253ee0fac

9998045100 has 432 divisors, whose sum is σ = 35308990080. Its totient is φ = 2351462400.

The previous prime is 9998045087. The next prime is 9998045131. The reversal of 9998045100 is 15408999.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 47383995 + ... + 47384205.

Almost surely, 29998045100 is an apocalyptic number.

9998045100 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 9998045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654495040).

9998045100 is an abundant number, since it is smaller than the sum of its proper divisors (25310944980).

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

9998045100 is a wasteful number, since it uses less digits than its factorization.

9998045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9998045100 is about 99990.2250222490. The cubic root of 9998045100 is about 2154.2942907367.

The spelling of 9998045100 in words is "nine billion, nine hundred ninety-eight million, forty-five thousand, one hundred".