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11182371144 = 2337212377687
BaseRepresentation
bin10100110101000010…
…10111000101001000
31001212022121022102020
422122201113011020
5140400141334034
65045341004440
7544052405100
oct123241270510
931768538366
1011182371144
11481917aa4a
122200b53720
13109294b879
147811c4200
15456ab5249
hex29a857148

11182371144 has 96 divisors (see below), whose sum is σ = 32550684480. Its totient is φ = 3191965056.

The previous prime is 11182371103. The next prime is 11182371199. The reversal of 11182371144 is 44117328111.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1450869 + ... + 1458555.

It is an arithmetic number, because the mean of its divisors is an integer number (339069630).

Almost surely, 211182371144 is an apocalyptic number.

11182371144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11182371144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275342240).

11182371144 is an abundant number, since it is smaller than the sum of its proper divisors (21368313336).

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

11182371144 is a wasteful number, since it uses less digits than its factorization.

11182371144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8947 (or 8936 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

Adding to 11182371144 its reverse (44117328111), we get a palindrome (55299699255).

The spelling of 11182371144 in words is "eleven billion, one hundred eighty-two million, three hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1237 2474 3711 4948 7422 7687 8659 9896 14844 15374 17318 23061 25977 29688 30748 34636 46122 51954 53809 60613 61496 69272 92244 103908 107618 121226 161427 181839 184488 207816 215236 242452 322854 363678 376663 430472 484904 645708 727356 753326 1129989 1291416 1454712 1506652 2259978 3013304 4519956 9039912 9508819 19017638 28526457 38035276 57052914 66561733 76070552 114105828 133123466 199685199 228211656 266246932 399370398 465932131 532493864 798740796 931864262 1397796393 1597481592 1863728524 2795592786 3727457048 5591185572 11182371144