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966030669 = 32372939901
BaseRepresentation
bin111001100101000…
…111010101001101
32111022202102221200
4321211013111031
53434300440134
6235505220113
732640060642
oct7145072515
92438672850
10966030669
1145633215a
1222b631639
131251a55a6
1492427dc9
1559c21499
hex3994754d

966030669 has 24 divisors (see below), whose sum is σ = 1438126872. Its totient is φ = 624412800.

The previous prime is 966030631. The next prime is 966030671.

966030669 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 831168900 + 134861769 = 28830^2 + 11613^2 .

It is not a de Polignac number, because 966030669 - 28 = 966030413 is a prime.

It is a super-2 number, since 2×9660306692 = 1866430506897175122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966030619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92619 + ... + 102519.

It is an arithmetic number, because the mean of its divisors is an integer number (59921953).

Almost surely, 2966030669 is an apocalyptic number.

It is an amenable number.

966030669 is a deficient number, since it is larger than the sum of its proper divisors (472096203).

966030669 is a wasteful number, since it uses less digits than its factorization.

966030669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10237 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 966030669 is about 31081.0339113743. The cubic root of 966030669 is about 988.5462010285.

The spelling of 966030669 in words is "nine hundred sixty-six million, thirty thousand, six hundred sixty-nine".

Divisors: 1 3 9 37 111 293 333 879 2637 9901 10841 29703 32523 89109 97569 366337 1099011 2900993 3297033 8702979 26108937 107336741 322010223 966030669