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6684187264 = 27292312003
BaseRepresentation
bin1100011100110100…
…01001101010000000
3122020211110220011021
412032122021222000
5102142122443024
63023133155224
7324432440266
oct61632115200
918224426137
106684187264
11292005a907
12136662bb14
13826a5c8c1
14475a2c436
15291c34de4
hex18e689a80

6684187264 has 96 divisors (see below), whose sum is σ = 14243149440. Its totient is φ = 3121198080.

The previous prime is 6684187253. The next prime is 6684187283. The reversal of 6684187264 is 4627814866.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3336087 + ... + 3338089.

It is an arithmetic number, because the mean of its divisors is an integer number (148366140).

Almost surely, 26684187264 is an apocalyptic number.

6684187264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6684187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121574720).

6684187264 is an abundant number, since it is smaller than the sum of its proper divisors (7558962176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6684187264 is a wasteful number, since it uses less digits than its factorization.

6684187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2065 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 52.

The square root of 6684187264 is about 81756.8790010969. The cubic root of 6684187264 is about 1883.7193668456.

The spelling of 6684187264 in words is "six billion, six hundred eighty-four million, one hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 464 496 841 899 928 992 1682 1798 1856 1984 2003 3364 3596 3712 3968 4006 6728 7192 8012 13456 14384 16024 26071 26912 28768 32048 52142 53824 57536 58087 62093 64096 104284 107648 115072 116174 124186 128192 208568 232348 248372 256384 417136 464696 496744 834272 929392 993488 1668544 1684523 1800697 1858784 1986976 3337088 3369046 3601394 3717568 3973952 6738092 7202788 7435136 7947904 13476184 14405576 26952368 28811152 52220213 53904736 57622304 104440426 107809472 115244608 208880852 215618944 230489216 417761704 835523408 1671046816 3342093632 6684187264