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9909202416 = 243239386269
BaseRepresentation
bin10010011101010001…
…00110110111110000
3221120120220122020220
421032220212313300
5130243223434131
64315140333040
7500362554651
oct111650466760
927516818226
109909202416
114225539493
121b066a4180
13c1bc494a9
146a0089528
153cee24e96
hex24ea26df0

9909202416 has 40 divisors (see below), whose sum is σ = 25609767120. Its totient is φ = 3301648896.

The previous prime is 9909202363. The next prime is 9909202469. The reversal of 9909202416 is 6142029099.

9909202416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9909202363) and next prime (9909202469).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71730 + ... + 157998.

It is an arithmetic number, because the mean of its divisors is an integer number (640244178).

Almost surely, 29909202416 is an apocalyptic number.

It is an amenable number.

9909202416 is an abundant number, since it is smaller than the sum of its proper divisors (15700564704).

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

9909202416 is a wasteful number, since it uses less digits than its factorization.

9909202416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88673 (or 88667 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 9909202416 is about 99544.9768496633. The cubic root of 9909202416 is about 2147.8942726137.

The spelling of 9909202416 in words is "nine billion, nine hundred nine million, two hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 2393 4786 7179 9572 14358 19144 28716 38288 57432 86269 114864 172538 258807 345076 517614 690152 1035228 1380304 2070456 4140912 206441717 412883434 619325151 825766868 1238650302 1651533736 2477300604 3303067472 4954601208 9909202416