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1666011168 = 25325784761
BaseRepresentation
bin110001101001101…
…0101000000100000
311022002220010200100
41203103111000200
511402444324133
6433152222400
756166601263
oct14323250040
94262803610
101666011168
11785468938
123a5b3aa00
13207208b33
1411b398cda
159b3dce13
hex634d5020

1666011168 has 36 divisors (see below), whose sum is σ = 4737720078. Its totient is φ = 555336960.

The previous prime is 1666011163. The next prime is 1666011211. The reversal of 1666011168 is 8611106661.

It can be written as a sum of positive squares in only one way, i.e., 1066153104 + 599858064 = 32652^2 + 24492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (1666011163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2892093 + ... + 2892668.

Almost surely, 21666011168 is an apocalyptic number.

1666011168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1666011168 is an abundant number, since it is smaller than the sum of its proper divisors (3071708910).

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

1666011168 is a wasteful number, since it uses less digits than its factorization.

1666011168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784777 (or 5784766 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1666011168 is about 40816.8000705592. The cubic root of 1666011168 is about 1185.4756451934.

The spelling of 1666011168 in words is "one billion, six hundred sixty-six million, eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5784761 11569522 17354283 23139044 34708566 46278088 52062849 69417132 92556176 104125698 138834264 185112352 208251396 277668528 416502792 555337056 833005584 1666011168