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9609899040 = 2532571950177
BaseRepresentation
bin10001111001100101…
…10110110000100000
3220210201201110012200
420330302312300200
5124140113232130
64225325253200
7460066536240
oct107462666040
926721643180
109609899040
1140915a0425
121a42404200
13ba1c337c1
14672417b20
153b3a02760
hex23ccb6c20

9609899040 has 288 divisors, whose sum is σ = 39451950720. Its totient is φ = 2080899072.

The previous prime is 9609898993. The next prime is 9609899053. The reversal of 9609899040 is 409989069.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166432 + ... + 216608.

It is an arithmetic number, because the mean of its divisors is an integer number (136985940).

Almost surely, 29609899040 is an apocalyptic number.

9609899040 is a gapful number since it is divisible by the number (90) 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 9609899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725975360).

9609899040 is an abundant number, since it is smaller than the sum of its proper divisors (29842051680).

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

9609899040 is a wasteful number, since it uses less digits than its factorization.

9609899040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50224 (or 50213 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 9609899040 is about 98030.0925226535. The cubic root of 9609899040 is about 2126.0473943440.

The spelling of 9609899040 in words is "nine billion, six hundred nine million, eight hundred ninety-nine thousand, forty".