Search a number
-
+
99889570200 = 2335271931149271
BaseRepresentation
bin101110100000111100…
…0011110000110011000
3100112211110211221001010
41131001320132012120
53114033212221300
6113515540053520
710134233223510
oct1350170360630
9315743757033
1099889570200
11393aa070602
12174389942a0
13955b986874
144b98516840
1528e96c4a50
hex1741e1e198

99889570200 has 768 divisors, whose sum is σ = 388546560000. Its totient is φ = 20715264000.

The previous prime is 99889570189. The next prime is 99889570201. The reversal of 99889570200 is 207598899.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99889570201) 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 191 ways as a sum of consecutive naturals, for example, 368596065 + ... + 368596335.

It is an arithmetic number, because the mean of its divisors is an integer number (505920000).

Almost surely, 299889570200 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 99889570200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194273280000).

99889570200 is an abundant number, since it is smaller than the sum of its proper divisors (288656989800).

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

99889570200 is a wasteful number, since it uses less digits than its factorization.

99889570200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 99889570200 in words is "ninety-nine billion, eight hundred eighty-nine million, five hundred seventy thousand, two hundred".