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99880838208 = 263617125929
BaseRepresentation
bin101110100000101011…
…1001010010001000000
3100112210212102022000000
41131001113022101000
53114023443310313
6113515025000000
710134066055014
oct1350127122100
9315725368000
1099880838208
11393a5147088
1217435a83000
139559c1a1c8
144b972c2544
1528e8a4c673
hex17415ca440

99880838208 has 196 divisors, whose sum is σ = 314648446140. Its totient is φ = 31334916096.

The previous prime is 99880838203. The next prime is 99880838249. The reversal of 99880838208 is 80283808899.

It can be written as a sum of positive squares in 2 ways, for example, as 86676070464 + 13204767744 = 294408^2 + 114912^2 .

It is a super-2 number, since 2×998808382082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99880838203) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 730188 + ... + 856116.

It is an arithmetic number, because the mean of its divisors is an integer number (1605349215).

Almost surely, 299880838208 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 99880838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157324223070).

99880838208 is an abundant number, since it is smaller than the sum of its proper divisors (214767607932).

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

99880838208 is a wasteful number, since it uses less digits than its factorization.

99880838208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125976 (or 125951 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 99880838208 in words is "ninety-nine billion, eight hundred eighty million, eight hundred thirty-eight thousand, two hundred eight".