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6540756684 = 22371113015441
BaseRepresentation
bin1100001011101110…
…00000011011001100
3121212211120212101120
412011313000123030
5101343413203214
63001011040540
7321041341320
oct60567003314
917784525346
106540756684
1128570a5340
1213265a0150
13803120c37
14460973980
15284351ea9
hex185dc06cc

6540756684 has 96 divisors (see below), whose sum is σ = 19045780992. Its totient is φ = 1697280000.

The previous prime is 6540756671. The next prime is 6540756709. The reversal of 6540756684 is 4866570456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199404 + ... + 1204844.

It is an arithmetic number, because the mean of its divisors is an integer number (198393552).

Almost surely, 26540756684 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 6540756684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522890496).

6540756684 is an abundant number, since it is smaller than the sum of its proper divisors (12505024308).

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

6540756684 is a wasteful number, since it uses less digits than its factorization.

6540756684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The square root of 6540756684 is about 80874.9447233196. The cubic root of 6540756684 is about 1870.1480893522.

The spelling of 6540756684 in words is "six billion, five hundred forty million, seven hundred fifty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1301 2602 3903 5204 5441 7806 9107 10882 14311 15612 16323 18214 21764 27321 28622 32646 36428 38087 42933 54642 57244 59851 65292 76174 85866 100177 109284 114261 119702 152348 171732 179553 200354 228522 239404 300531 359106 400708 418957 457044 601062 718212 837914 1202124 1256871 1675828 2513742 5027484 7078741 14157482 21236223 28314964 42472446 49551187 77866151 84944892 99102374 148653561 155732302 198204748 233598453 297307122 311464604 467196906 545063057 594614244 934393812 1090126114 1635189171 2180252228 3270378342 6540756684