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6743948568 = 23373110112821
BaseRepresentation
bin1100100011111100…
…00111110100011000
3122101222221002020220
412101332013310120
5102302422323233
63033110120040
7326056421430
oct62176076430
918358832226
106743948568
112950868415
121382650020
13836255016
1447d9472c0
152970dbeb3
hex191f87d18

6743948568 has 128 divisors (see below), whose sum is σ = 20088483840. Its totient is φ = 1846080000.

The previous prime is 6743948557. The next prime is 6743948609. The reversal of 6743948568 is 8658493476.

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 31 ways as a sum of consecutive naturals, for example, 519598 + ... + 532418.

It is an arithmetic number, because the mean of its divisors is an integer number (156941280).

Almost surely, 26743948568 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 6743948568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044241920).

6743948568 is an abundant number, since it is smaller than the sum of its proper divisors (13344535272).

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

6743948568 is a wasteful number, since it uses less digits than its factorization.

6743948568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969 (or 12965 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The square root of 6743948568 is about 82121.5475256038. The cubic root of 6743948568 is about 1889.3166410557.

The spelling of 6743948568 in words is "six billion, seven hundred forty-three million, nine hundred forty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 101 124 168 186 202 217 248 303 372 404 434 606 651 707 744 808 868 1212 1302 1414 1736 2121 2424 2604 2828 3131 4242 5208 5656 6262 8484 9393 12524 12821 16968 18786 21917 25048 25642 37572 38463 43834 51284 65751 75144 76926 87668 89747 102568 131502 153852 175336 179494 263004 269241 307704 358988 397451 526008 538482 717976 794902 1076964 1192353 1294921 1589804 2153928 2384706 2589842 2782157 3179608 3884763 4769412 5179684 5564314 7769526 8346471 9064447 9538824 10359368 11128628 15539052 16692942 18128894 22257256 27193341 31078104 33385884 36257788 40142551 54386682 66771768 72515576 80285102 108773364 120427653 160570204 217546728 240855306 280997857 321140408 481710612 561995714 842993571 963421224 1123991428 1685987142 2247982856 3371974284 6743948568