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6668641104 = 243735093739
BaseRepresentation
bin1100011010111101…
…10110001101010000
3122012202020001211120
412031132312031100
5102124133003404
63021420042240
7324153341226
oct61536661520
918182201746
106668641104
112912301844
121361393380
138237787a8
14473942b16
152906b39d9
hex18d7b6350

6668641104 has 80 divisors (see below), whose sum is σ = 17502302400. Its totient is φ = 2187537408.

The previous prime is 6668641079. The next prime is 6668641117. The reversal of 6668641104 is 4011468666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1781667 + ... + 1785405.

It is an arithmetic number, because the mean of its divisors is an integer number (218778780).

Almost surely, 26668641104 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 6668641104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751151200).

6668641104 is an abundant number, since it is smaller than the sum of its proper divisors (10833661296).

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

6668641104 is a wasteful number, since it uses less digits than its factorization.

6668641104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6668641104 is about 81661.7481076667. The cubic root of 6668641104 is about 1882.2578410891.

The spelling of 6668641104 in words is "six billion, six hundred sixty-eight million, six hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 509 584 876 1018 1168 1527 1752 2036 3054 3504 3739 4072 6108 7478 8144 11217 12216 14956 22434 24432 29912 37157 44868 59824 74314 89736 111471 148628 179472 222942 272947 297256 445884 545894 594512 818841 891768 1091788 1637682 1783536 1903151 2183576 3275364 3806302 4367152 5709453 6550728 7612604 11418906 13101456 15225208 22837812 30450416 45675624 91351248 138930023 277860046 416790069 555720092 833580138 1111440184 1667160276 2222880368 3334320552 6668641104