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11111074441008 = 24319611031939073
BaseRepresentation
bin1010000110101111111110…
…1001010010011100110000
31110100012121212210220122220
42201223333221102130300
52424020440024103013
635344205050201040
72224514532306003
oct241537751223460
943305555726586
1011111074441008
1135a41a89474a3
1212b5498423180
13627a013c3169
142a5ac932353a
15144057c89b23
hexa1affa52730

11111074441008 has 160 divisors (see below), whose sum is σ = 31007809896960. Its totient is φ = 3417730744320.

The previous prime is 11111074440959. The next prime is 11111074441039. The reversal of 11111074441008 is 80014447011111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11111074441008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4760560 + ... + 6699632.

It is an arithmetic number, because the mean of its divisors is an integer number (193798811856).

Almost surely, 211111074441008 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 11111074441008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503904948480).

11111074441008 is an abundant number, since it is smaller than the sum of its proper divisors (19896735455952).

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

11111074441008 is a wasteful number, since it uses less digits than its factorization.

11111074441008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939267 (or 1939261 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 11111074441008 in words is "eleven trillion, one hundred eleven billion, seventy-four million, four hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 61 76 103 114 122 152 183 206 228 244 304 309 366 412 456 488 618 732 824 912 976 1159 1236 1464 1648 1957 2318 2472 2928 3477 3914 4636 4944 5871 6283 6954 7828 9272 11742 12566 13908 15656 18544 18849 23484 25132 27816 31312 37698 46968 50264 55632 75396 93936 100528 119377 150792 238754 301584 358131 477508 716262 955016 1432524 1910032 1939073 2865048 3878146 5730096 5817219 7756292 11634438 15512584 23268876 31025168 36842387 46537752 73684774 93075504 110527161 118283453 147369548 199724519 221054322 236566906 294739096 354850359 399449038 442108644 473133812 589478192 599173557 709700718 798898076 884217288 946267624 1198347114 1419401436 1597796152 1768434576 1892535248 2247385607 2396694228 2838802872 3195592304 3794765861 4494771214 4793388456 5677605744 6742156821 7589531722 8989542428 9586776912 11384297583 12183195659 13484313642 15179063444 17979084856 22768595166 24366391318 26968627284 30358126888 35958169712 36549586977 45537190332 48732782636 53937254568 60716253776 73099173954 91074380664 97465565272 107874509136 146198347908 182148761328 194931130544 231480717521 292396695816 462961435042 584793391632 694442152563 925922870084 1388884305126 1851845740168 2777768610252 3703691480336 5555537220504 11111074441008