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11111112345680 = 245715776195477
BaseRepresentation
bin1010000110110000000111…
…1001111000100001010000
31110100012201112010200002122
42201230001321320201100
52424021024230030210
635344212522433412
72224515502426154
oct241540171704120
943305645120078
1011111112345680
1135a4218286876
1212b54a9062868
13627a09205069
142a5ad038d064
1514405b275b55
hexa1b01e78850

11111112345680 has 160 divisors (see below), whose sum is σ = 26289782703360. Its totient is φ = 4366388920320.

The previous prime is 11111112345677. The next prime is 11111112345701. The reversal of 11111112345680 is 8654321111111.

It is a self number, because there is not a number n which added to its sum of digits gives 11111112345680.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 2028683102 + ... + 2028688578.

It is an arithmetic number, because the mean of its divisors is an integer number (164311141896).

Almost surely, 211111112345680 is an apocalyptic number.

11111112345680 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 11111112345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144891351680).

11111112345680 is an abundant number, since it is smaller than the sum of its proper divisors (15178670357680).

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

11111112345680 is a wasteful number, since it uses less digits than its factorization.

11111112345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 35.

Adding to 11111112345680 its reverse (8654321111111), we get a palindrome (19765433456791).

The spelling of 11111112345680 in words is "eleven trillion, one hundred eleven billion, one hundred twelve million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 577 619 710 1136 1154 1238 1420 2308 2476 2840 2885 3095 4616 4952 5477 5680 5770 6190 9232 9904 10954 11540 12380 21908 23080 24760 27385 40967 43816 43949 46160 49520 54770 81934 87632 87898 109540 163868 175796 204835 219080 219745 327736 351592 357163 388867 409670 438160 439490 655472 703184 714326 777734 819340 878980 1428652 1555468 1638680 1757960 1785815 1944335 2857304 3110936 3160229 3277360 3390263 3515920 3571630 3888670 5714608 6221872 6320458 6780526 7143260 7777340 12640916 13561052 14286520 15554680 15801145 16951315 25281832 25358573 27122104 28573040 31109360 31602290 33902630 50563664 50717146 54244208 63204580 67805260 101434292 126409160 126792865 135610520 202868584 224376259 240708673 252818320 253585730 271221040 405737168 448752518 481417346 507171460 897505036 962834692 1014342920 1121881295 1203543365 1795010072 1925669384 1956181751 2028685840 2243762590 2407086730 3590020144 3851338768 3912363502 4487525180 4814173460 7824727004 8975050360 9628346920 9780908755 15649454008 17950100720 19256693840 19561817510 31298908016 39123635020 78247270040 138888904321 156494540080 277777808642 555555617284 694444521605 1111111234568 1388889043210 2222222469136 2777778086420 5555556172840 11111112345680