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11067066340 = 22511318918233
BaseRepresentation
bin10100100111010011…
…00000011111100100
31001120021122012221221
422103221200133210
5140131132110330
65030101350124
7541152340351
oct122351403744
931507565857
1011067066340
11476a085820
12218a408344
131074aa9a85
1476db6b628
1544b8dab7a
hex293a607e4

11067066340 has 96 divisors (see below), whose sum is σ = 26467015680. Its totient is φ = 3850598400.

The previous prime is 11067066323. The next prime is 11067066347. The reversal of 11067066340 is 4366076011.

It is a junction number, because it is equal to n+sod(n) for n = 11067066296 and 11067066305.

It is not an unprimeable number, because it can be changed into a prime (11067066347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597864 + ... + 616096.

It is an arithmetic number, because the mean of its divisors is an integer number (275698080).

Almost surely, 211067066340 is an apocalyptic number.

11067066340 is a gapful number since it is divisible by the number (10) 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 11067066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233507840).

11067066340 is an abundant number, since it is smaller than the sum of its proper divisors (15399949340).

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

11067066340 is a wasteful number, since it uses less digits than its factorization.

11067066340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18373 (or 18371 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 11067066340 in words is "eleven billion, sixty-seven million, sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 89 110 124 155 178 220 310 341 356 445 620 682 890 979 1364 1705 1780 1958 2759 3410 3916 4895 5518 6820 9790 11036 13795 18233 19580 27590 30349 36466 55180 60698 72932 91165 121396 151745 182330 200563 303490 364660 401126 565223 606980 802252 1002815 1130446 1622737 2005630 2260892 2826115 3245474 4011260 5652230 6217453 6490948 8113685 11304460 12434906 16227370 17850107 24869812 31087265 32454740 35700214 50304847 62174530 71400428 89250535 100609694 124349060 178501070 201219388 251524235 357002140 503048470 553353317 1006096940 1106706634 2213413268 2766766585 5533533170 11067066340