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2666404417 is a prime number
BaseRepresentation
bin1001111011101110…
…0001101001000001
320212211022101020011
42132323201221001
520430044420132
61120330144521
7123035030545
oct23673415101
96784271204
102666404417
111149130116
12624b82141
13336552cc1
141b41a9a25
1510914ab47
hex9eee1a41

2666404417 has 2 divisors, whose sum is σ = 2666404418. Its totient is φ = 2666404416.

The previous prime is 2666404409. The next prime is 2666404441. The reversal of 2666404417 is 7144046662.

2666404417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2280635536 + 385768881 = 47756^2 + 19641^2 .

It is a cyclic number.

It is not a de Polignac number, because 2666404417 - 23 = 2666404409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2666404417.

It is not a weakly prime, because it can be changed into another prime (2666404717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1333202208 + 1333202209.

It is an arithmetic number, because the mean of its divisors is an integer number (1333202209).

Almost surely, 22666404417 is an apocalyptic number.

It is an amenable number.

2666404417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2666404417 is an equidigital number, since it uses as much as digits as its factorization.

2666404417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 2666404417 is about 51637.2386655212. The cubic root of 2666404417 is about 1386.6770887702.

The spelling of 2666404417 in words is "two billion, six hundred sixty-six million, four hundred four thousand, four hundred seventeen".