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6638290092 = 2233724332897
BaseRepresentation
bin1100010111010110…
…00100010010101100
3122010122010002002000
412023223010102230
5102043400240332
63014413332300
7323334351300
oct61353042254
918118102060
106638290092
1128a7161665
121353197090
1381a3acb05
1446d8c1d00
1528cbbab7c
hex18bac44ac

6638290092 has 144 divisors (see below), whose sum is σ = 20073402720. Its totient is φ = 1891620864.

The previous prime is 6638290079. The next prime is 6638290103. The reversal of 6638290092 is 2900928366.

6638290092 is a `hidden beast` number, since 6 + 638 + 2 + 9 + 0 + 0 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289988 + ... + 2292884.

It is an arithmetic number, because the mean of its divisors is an integer number (139398630).

Almost surely, 26638290092 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 6638290092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036701360).

6638290092 is an abundant number, since it is smaller than the sum of its proper divisors (13435112628).

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

6638290092 is a wasteful number, since it uses less digits than its factorization.

6638290092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6638290092 is about 81475.7024639862. The cubic root of 6638290092 is about 1879.3979221113.

The spelling of 6638290092 in words is "six billion, six hundred thirty-eight million, two hundred ninety thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 433 441 588 756 866 882 1299 1323 1732 1764 2598 2646 2897 3031 3897 5196 5292 5794 6062 7794 8691 9093 11588 11691 12124 15588 17382 18186 20279 21217 23382 26073 27279 34764 36372 40558 42434 46764 52146 54558 60837 63651 78219 81116 81837 84868 104292 109116 121674 127302 141953 156438 163674 182511 190953 243348 254604 283906 312876 327348 365022 381906 425859 547533 567812 572859 730044 763812 851718 1095066 1145718 1254401 1277577 1703436 2190132 2291436 2508802 2555154 3763203 3832731 5017604 5110308 7526406 7665462 8780807 11289609 15052812 15330924 17561614 22579218 26342421 33868827 35123228 45158436 52684842 61465649 67737654 79027263 105369684 122931298 135475308 158054526 184396947 237081789 245862596 316109052 368793894 474163578 553190841 737587788 948327156 1106381682 1659572523 2212763364 3319145046 6638290092