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663828828366 = 2311295950911549
BaseRepresentation
bin10011010100011110100…
…10000001000011001110
32100110110101001111100110
421222033102001003032
541334010140001431
61224543031340450
765650203640434
oct11521722010316
92313411044313
10663828828366
1123658a082020
12a87a2b21726
134a7a27066c2
14241b5450d54
15124037d3346
hex9a8f4810ce

663828828366 has 128 divisors (see below), whose sum is σ = 1526817600000. Its totient is φ = 190540152320.

The previous prime is 663828828359. The next prime is 663828828367.

663828828366 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 663828828297 and 663828828306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663828828367) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 57473560 + ... + 57485108.

It is an arithmetic number, because the mean of its divisors is an integer number (11928262500).

Almost surely, 2663828828366 is an apocalyptic number.

663828828366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 663828828366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763408800000).

663828828366 is an abundant number, since it is smaller than the sum of its proper divisors (862988771634).

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

663828828366 is a wasteful number, since it uses less digits than its factorization.

663828828366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162.

The product of its digits is 191102976, while the sum is 66.

The spelling of 663828828366 in words is "six hundred sixty-three billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 22 29 33 58 59 66 87 118 174 177 319 354 509 638 649 957 1018 1298 1527 1711 1914 1947 3054 3422 3894 5133 5599 10266 11198 11549 14761 16797 18821 23098 29522 30031 33594 34647 37642 44283 56463 60062 69294 88566 90093 112926 127039 162371 180186 254078 324742 330341 334921 381117 487113 660682 669842 681391 762234 870899 974226 991023 1004763 1362782 1741798 1982046 2009526 2044173 2612697 3684131 4088346 5225394 5878441 7368262 7495301 9579889 11052393 11756882 14990602 17635323 19159778 19760339 22104786 22485903 28739667 35270646 39520678 44971806 57479334 59281017 64662851 118562034 129325702 170474789 193988553 217363729 340949578 346828019 387977106 434727458 511424367 652091187 693656038 1022848734 1040484057 1304182374 1875222679 2080968114 3750445358 3815108209 5625668037 7630216418 10058012551 11251336074 11445324627 20116025102 22890649254 30174037653 60348075306 110638138061 221276276122 331914414183 663828828366