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9050827968 = 2632713172673
BaseRepresentation
bin10000110110111100…
…01010110011000000
3212100202201200212200
420123132022303000
5122014002443333
64054034353200
7440200524360
oct103336126300
925322650780
109050827968
113924a58016
12190712b800
13b13168510
1461c0869a0
1537e8bbc13
hex21b78acc0

9050827968 has 168 divisors, whose sum is σ = 31929494688. Its totient is φ = 2387017728.

The previous prime is 9050827963. The next prime is 9050827987. The reversal of 9050827968 is 8697280509.

It is a happy number.

9050827968 is a `hidden beast` number, since 9 + 0 + 508 + 2 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (9050827963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33921 + ... + 138752.

It is an arithmetic number, because the mean of its divisors is an integer number (190056516).

Almost surely, 29050827968 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 9050827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964747344).

9050827968 is an abundant number, since it is smaller than the sum of its proper divisors (22878666720).

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

9050827968 is a wasteful number, since it uses less digits than its factorization.

9050827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172711 (or 172698 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 9050827968 is about 95135.8395558687. The cubic root of 9050827968 is about 2083.9922683955.

The spelling of 9050827968 in words is "nine billion, fifty million, eight hundred twenty-seven thousand, nine hundred sixty-eight".