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8230666416 = 24374174201
BaseRepresentation
bin1111010101001011…
…00000000010110000
3210020121110011201220
413222211200002300
5113324022311131
63440415425040
7410651340000
oct75245400260
923217404656
108230666416
113543aa6555
121718525180
13a1227681b
14581190000
153328b0e96
hex1ea9600b0

8230666416 has 200 divisors, whose sum is σ = 26270198064. Its totient is φ = 2212761600.

The previous prime is 8230666397. The next prime is 8230666417. The reversal of 8230666416 is 6146660328.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230666417) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1957116 + ... + 1961316.

Almost surely, 28230666416 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 8230666416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13135099032).

8230666416 is an abundant number, since it is smaller than the sum of its proper divisors (18039531648).

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

8230666416 is a wasteful number, since it uses less digits than its factorization.

8230666416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 8230666416 is about 90723.0203200930. The cubic root of 8230666416 is about 2019.0403584745.

The spelling of 8230666416 in words is "eight billion, two hundred thirty million, six hundred sixty-six thousand, four hundred sixteen".