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4068583344 = 2434717233137
BaseRepresentation
bin1111001010000001…
…1010011110110000
3101111112202110010000
43302200122132300
531313024131334
61511415510000
7202552250010
oct36240323660
911445673100
104068583344
1117a8677981
12956688300
134cabb5487
142a84c7c40
1518c2c1299
hexf281a7b0

4068583344 has 800 divisors, whose sum is σ = 15763562496. Its totient is φ = 985374720.

The previous prime is 4068583283. The next prime is 4068583403. The reversal of 4068583344 is 4433858604.

4068583344 is a `hidden beast` number, since 4 + 0 + 68 + 583 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4068583344.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 109961694 + ... + 109961730.

Almost surely, 24068583344 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 4068583344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881781248).

4068583344 is an abundant number, since it is smaller than the sum of its proper divisors (11694979152).

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

4068583344 is a wasteful number, since it uses less digits than its factorization.

4068583344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4068583344 is about 63785.4477447639. The cubic root of 4068583344 is about 1596.4221281510.

The spelling of 4068583344 in words is "four billion, sixty-eight million, five hundred eighty-three thousand, three hundred forty-four".