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6084468009 = 3121072
BaseRepresentation
bin1011010101010100…
…11001110100101001
3120201001000000000000
411222222121310221
544430110434014
62443431133213
7303531060534
oct55252316451
916631000000
106084468009
112642583964
121219814209
1375c731a39
1441a119a1b
15259270509
hex16aa99d29

6084468009 has 39 divisors (see below), whose sum is σ = 9212789677. Its totient is φ = 4018402548.

The previous prime is 6084467971. The next prime is 6084468017. The reversal of 6084468009 is 9008644806.

It is a happy number.

The square root of 6084468009 is 78003.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 6084468009 - 231 = 3936984361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6084468029) 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 38 ways as a sum of consecutive naturals, for example, 56864134 + ... + 56864240.

Almost surely, 26084468009 is an apocalyptic number.

6084468009 is the 78003-rd square number.

6084468009 is the 39002-nd centered octagonal number.

It is an amenable number.

6084468009 is a deficient number, since it is larger than the sum of its proper divisors (3128321668).

6084468009 is an frugal number, since it uses more digits than its factorization.

6084468009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The cubic root of 6084468009 is about 1825.6080299909.

The spelling of 6084468009 in words is "six billion, eighty-four million, four hundred sixty-eight thousand, nine".

Divisors: 1 3 9 27 81 107 243 321 729 963 2187 2889 6561 8667 11449 19683 26001 34347 59049 78003 103041 177147 234009 309123 531441 702027 927369 2106081 2782107 6318243 8346321 18954729 25038963 56864187 75116889 225350667 676052001 2028156003 6084468009