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9094350816 = 2537294481
BaseRepresentation
bin10000111100001000…
…01100011111100000
3212110210121220000000
420132010030133200
5122111123211231
64102231300000
7441236464215
oct103604143740
925423556000
109094350816
113947584411
12191981a600
13b1c196695
14623b75b0c
153836176e6
hex21e10c7e0

9094350816 has 192 divisors, whose sum is σ = 27784814400. Its totient is φ = 2926264320.

The previous prime is 9094350809. The next prime is 9094350827. The reversal of 9094350816 is 6180534909.

It is a happy number.

9094350816 is a `hidden beast` number, since 90 + 9 + 43 + 508 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2027296 + ... + 2031776.

It is an arithmetic number, because the mean of its divisors is an integer number (144712575).

Almost surely, 29094350816 is an apocalyptic number.

9094350816 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 9094350816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892407200).

9094350816 is an abundant number, since it is smaller than the sum of its proper divisors (18690463584).

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

9094350816 is an equidigital number, since it uses as much as digits as its factorization.

9094350816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9094350816 is about 95364.3057752742. The cubic root of 9094350816 is about 2087.3273695483.

The spelling of 9094350816 in words is "nine billion, ninety-four million, three hundred fifty thousand, eight hundred sixteen".