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1668585321 = 321314261413
BaseRepresentation
bin110001101110100…
…1001011101101001
311022021201220202100
41203131021131221
511404124212241
6433323324013
756230512144
oct14335113551
94267656670
101668585321
11786966937
123a6980609
132078ca6c0
1411b86905b
159b74a9b6
hex63749769

1668585321 has 12 divisors (see below), whose sum is σ = 2595577348. Its totient is φ = 1026821664.

The previous prime is 1668585319. The next prime is 1668585389. The reversal of 1668585321 is 1235858661.

1668585321 is a `hidden beast` number, since 1 + 6 + 68 + 58 + 532 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 423906921 + 1244678400 = 20589^2 + 35280^2 .

It is not a de Polignac number, because 1668585321 - 21 = 1668585319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1668585311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7130590 + ... + 7130823.

Almost surely, 21668585321 is an apocalyptic number.

It is an amenable number.

1668585321 is a deficient number, since it is larger than the sum of its proper divisors (926992027).

1668585321 is a wasteful number, since it uses less digits than its factorization.

1668585321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14261432 (or 14261429 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1668585321 is about 40848.3209079639. The cubic root of 1668585321 is about 1186.0858902749.

The spelling of 1668585321 in words is "one billion, six hundred sixty-eight million, five hundred eighty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 14261413 42784239 128352717 185398369 556195107 1668585321