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11126416650 = 2352257349827
BaseRepresentation
bin10100101110010111…
…11010010100001010
31001201102022112021120
422113023322110022
5140241330313100
65040021420110
7542502660336
oct122713722412
931642275246
1011126416650
11479a632568
1221a626a636
13108418a0bb
147779ba7c6
15451c110a0
hex2972fa50a

11126416650 has 96 divisors (see below), whose sum is σ = 27813844800. Its totient is φ = 2943467520.

The previous prime is 11126416633. The next prime is 11126416661. The reversal of 11126416650 is 5661462111.

11126416650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 13453537 + ... + 13454363.

It is an arithmetic number, because the mean of its divisors is an integer number (289727550).

Almost surely, 211126416650 is an apocalyptic number.

11126416650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11126416650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906922400).

11126416650 is an abundant number, since it is smaller than the sum of its proper divisors (16687428150).

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

11126416650 is a wasteful number, since it uses less digits than its factorization.

11126416650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 11126416650 its reverse (5661462111), we get a palindrome (16787878761).

The spelling of 11126416650 in words is "eleven billion, one hundred twenty-six million, four hundred sixteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 257 349 514 698 771 827 1047 1285 1542 1654 1745 2094 2481 2570 3490 3855 4135 4962 5235 6425 7710 8270 8725 10470 12405 12850 17450 19275 20675 24810 26175 38550 41350 52350 62025 89693 124050 179386 212539 269079 288623 425078 448465 538158 577246 637617 865869 896930 1062695 1275234 1345395 1443115 1731738 2125390 2242325 2690790 2886230 3188085 4329345 4484650 5313475 6376170 6726975 7215575 8658690 10626950 13453950 14431150 15940425 21646725 31880850 43293450 74176111 148352222 222528333 370880555 445056666 741761110 1112641665 1854402775 2225283330 3708805550 5563208325 11126416650