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6666096384 = 28323318741
BaseRepresentation
bin1100011010101010…
…01000111100000000
3122012120102210010200
412031111020330000
5102123010041014
63021245325200
7324122612223
oct61525107400
918176383120
106666096384
112910923972
121360566800
1382309743c
1447347d5ba
1529035ea09
hex18d548f00

6666096384 has 108 divisors (see below), whose sum is σ = 19280271192. Its totient is φ = 2215065600.

The previous prime is 6666096343. The next prime is 6666096427. The reversal of 6666096384 is 4836906666.

It is a super-3 number, since 3×66660963843 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6666096384.

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, 758254 + ... + 766994.

Almost surely, 26666096384 is an apocalyptic number.

6666096384 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 6666096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640135596).

6666096384 is an abundant number, since it is smaller than the sum of its proper divisors (12614174808).

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

6666096384 is a wasteful number, since it uses less digits than its factorization.

6666096384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The square root of 6666096384 is about 81646.1657642292. The cubic root of 6666096384 is about 1882.0183905782.

The spelling of 6666096384 in words is "six billion, six hundred sixty-six million, ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 331 384 576 662 768 993 1152 1324 1986 2304 2648 2979 3972 5296 5958 7944 8741 10592 11916 15888 17482 21184 23832 26223 31776 34964 42368 47664 52446 63552 69928 78669 84736 95328 104892 127104 139856 157338 190656 209784 254208 279712 314676 381312 419568 559424 629352 762624 839136 1118848 1258704 1678272 2237696 2517408 2893271 3356544 5034816 5786542 6713088 8679813 10069632 11573084 17359626 20139264 23146168 26039439 34719252 46292336 52078878 69438504 92584672 104157756 138877008 185169344 208315512 277754016 370338688 416631024 555508032 740677376 833262048 1111016064 1666524096 2222032128 3333048192 6666096384