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2166046344 = 23327112316987
BaseRepresentation
bin1000000100011011…
…0011111010001000
312120221210112222200
42001012303322020
513414001440334
6554533520200
7104451042630
oct20106637210
95527715880
102166046344
11a11749750
125054a3060
132869a3c37
1416795d6c0
15ca261799
hex811b3e88

2166046344 has 192 divisors, whose sum is σ = 7632368640. Its totient is φ = 538116480.

The previous prime is 2166046343. The next prime is 2166046349. The reversal of 2166046344 is 4436406612.

2166046344 is a `hidden beast` number, since 2 + 1 + 6 + 604 + 6 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2166046299 and 2166046308.

It is not an unprimeable number, because it can be changed into a prime (2166046343) 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 47 ways as a sum of consecutive naturals, for example, 119019 + ... + 136005.

It is an arithmetic number, because the mean of its divisors is an integer number (39751920).

Almost surely, 22166046344 is an apocalyptic number.

2166046344 is a gapful number since it is divisible by the number (24) 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 2166046344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816184320).

2166046344 is an abundant number, since it is smaller than the sum of its proper divisors (5466322296).

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

2166046344 is a wasteful number, since it uses less digits than its factorization.

2166046344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17040 (or 17033 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2166046344 is about 46540.8030012375. The cubic root of 2166046344 is about 1293.8658434112.

The spelling of 2166046344 in words is "two billion, one hundred sixty-six million, forty-six thousand, three hundred forty-four".