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6684385248 = 253367115471
BaseRepresentation
bin1100011100110101…
…11001111111100000
3122020211211221202000
412032122321333200
5102142200311443
63023141324000
7324434223432
oct61632717740
918224757660
106684385248
112920185632
121366706600
13826acba58
14475a80652
15291c738d3
hex18e6b9fe0

6684385248 has 96 divisors (see below), whose sum is σ = 19787281920. Its totient is φ = 2194853760.

The previous prime is 6684385243. The next prime is 6684385259. The reversal of 6684385248 is 8425834866.

6684385248 is a `hidden beast` number, since 6 + 6 + 84 + 38 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×66843852482 = 89362012287360043008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6684385194 and 6684385203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6684385243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153 + ... + 115623.

It is an arithmetic number, because the mean of its divisors is an integer number (206117520).

Almost surely, 26684385248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6684385248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893640960).

6684385248 is an abundant number, since it is smaller than the sum of its proper divisors (13102896672).

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

6684385248 is a wasteful number, since it uses less digits than its factorization.

6684385248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115557 (or 115543 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 6684385248 is about 81758.0898015603. The cubic root of 6684385248 is about 1883.7379650984.

The spelling of 6684385248 in words is "six billion, six hundred eighty-four million, three hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1072 1206 1608 1809 2144 2412 3216 3618 4824 6432 7236 9648 14472 19296 28944 57888 115471 230942 346413 461884 692826 923768 1039239 1385652 1847536 2078478 2771304 3117717 3695072 4156956 5542608 6235434 7736557 8313912 11085216 12470868 15473114 16627824 23209671 24941736 30946228 33255648 46419342 49883472 61892456 69629013 92838684 99766944 123784912 139258026 185677368 208887039 247569824 278516052 371354736 417774078 557032104 742709472 835548156 1114064208 1671096312 2228128416 3342192624 6684385248