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966808669 = 53157116189
BaseRepresentation
bin111001101000000…
…101010001011101
32111101012222011111
4321220011101131
53440000334134
6235534022021
732646511111
oct7150052135
92441188144
10966808669
11456813732
1222b947911
131253b8748
149258b741
1559d26c64
hex39a0545d

966808669 has 8 divisors (see below), whose sum is σ = 991333080. Its totient is φ = 942517056.

The previous prime is 966808643. The next prime is 966808681.

966808669 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 38875225 + 927933444 = 6235^2 + 30462^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 966808669 - 213 = 966800477 is a prime.

It is a super-2 number, since 2×9668086692 = 1869438004907103122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966808069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49774 + ... + 66415.

It is an arithmetic number, because the mean of its divisors is an integer number (123916635).

Almost surely, 2966808669 is an apocalyptic number.

It is an amenable number.

966808669 is a deficient number, since it is larger than the sum of its proper divisors (24524411).

966808669 is a wasteful number, since it uses less digits than its factorization.

966808669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116399.

The product of its (nonzero) digits is 6718464, while the sum is 58.

The square root of 966808669 is about 31093.5470636594. The cubic root of 966808669 is about 988.8115075030.

The spelling of 966808669 in words is "nine hundred sixty-six million, eight hundred eight thousand, six hundred sixty-nine".

Divisors: 1 53 157 8321 116189 6158017 18241673 966808669