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11041705668 = 22372109172279
BaseRepresentation
bin10100100100010001…
…10000111011000100
31001111111220202122210
422102020300323010
5140103134040133
65023354023420
7540423643500
oct122210607304
931444822583
1011041705668
114756833994
122181a17b70
13106c76a666
1476a649300
1544957b763
hex292230ec4

11041705668 has 72 divisors (see below), whose sum is σ = 30245476800. Its totient is φ = 3125812032.

The previous prime is 11041705663. The next prime is 11041705669. The reversal of 11041705668 is 86650714011.

It is not an unprimeable number, because it can be changed into a prime (11041705663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22048 + ... + 150231.

Almost surely, 211041705668 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 11041705668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122738400).

11041705668 is an abundant number, since it is smaller than the sum of its proper divisors (19203771132).

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

11041705668 is a wasteful number, since it uses less digits than its factorization.

11041705668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172409 (or 172400 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 11041705668 in words is "eleven billion, forty-one million, seven hundred five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 109 147 196 218 294 327 436 588 654 763 1308 1526 2289 3052 4578 5341 9156 10682 16023 21364 32046 64092 172279 344558 516837 689116 1033674 1205953 2067348 2411906 3617859 4823812 7235718 8441671 14471436 16883342 18778411 25325013 33766684 37556822 50650026 56335233 75113644 101300052 112670466 131448877 225340932 262897754 394346631 525795508 788693262 920142139 1577386524 1840284278 2760426417 3680568556 5520852834 11041705668