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9559420416 = 293471317149
BaseRepresentation
bin10001110011100100…
…10010111000000000
3220200012201212120000
420321302102320000
5124034202423131
64220323320000
7455614506240
oct107162227000
926605655500
109559420416
114066053057
121a29520000
13b9463b5b0
14669837b20
153ae380ce6
hex239c92e00

9559420416 has 800 divisors, whose sum is σ = 37431979200. Its totient is φ = 2356936704.

The previous prime is 9559420397. The next prime is 9559420457. The reversal of 9559420416 is 6140249559.

It is a super-2 number, since 2×95594204162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64157110 + ... + 64157258.

It is an arithmetic number, because the mean of its divisors is an integer number (46789974).

Almost surely, 29559420416 is an apocalyptic number.

9559420416 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 9559420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18715989600).

9559420416 is an abundant number, since it is smaller than the sum of its proper divisors (27872558784).

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

9559420416 is a wasteful number, since it uses less digits than its factorization.

9559420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9559420416 is about 97772.2885893544. The cubic root of 9559420416 is about 2122.3183088114.

The spelling of 9559420416 in words is "nine billion, five hundred fifty-nine million, four hundred twenty thousand, four hundred sixteen".