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11051111680 = 28576171999
BaseRepresentation
bin10100100101011001…
…01001010100000000
31001112011121122021121
422102230221110000
5140113041033210
65024331402024
7540566620330
oct122254512400
931464548247
1011051111680
114761078854
122184bb3314
1310716b1a4b
1476b9b70c0
1544a2d86da
hex292b29500

11051111680 has 144 divisors (see below), whose sum is σ = 30316608000. Its totient is φ = 3780919296.

The previous prime is 11051111657. The next prime is 11051111711. The reversal of 11051111680 is 8611115011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5527321 + ... + 5529319.

It is an arithmetic number, because the mean of its divisors is an integer number (210532000).

Almost surely, 211051111680 is an apocalyptic number.

11051111680 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 11051111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158304000).

11051111680 is an abundant number, since it is smaller than the sum of its proper divisors (19265496320).

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

11051111680 is an equidigital number, since it uses as much as digits as its factorization.

11051111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 25.

Adding to 11051111680 its reverse (8611115011), we get a palindrome (19662226691).

The spelling of 11051111680 in words is "eleven billion, fifty-one million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 617 640 896 1120 1234 1280 1792 1999 2240 2468 3085 3998 4319 4480 4936 6170 7996 8638 8960 9872 9995 12340 13993 15992 17276 19744 19990 21595 24680 27986 31984 34552 39488 39980 43190 49360 55972 63968 69104 69965 78976 79960 86380 98720 111944 127936 138208 139930 157952 159920 172760 197440 223888 255872 276416 279860 319840 345520 394880 447776 511744 552832 559720 639680 691040 789760 895552 1105664 1119440 1233383 1279360 1382080 1791104 2238880 2466766 2558720 2764160 3582208 4477760 4933532 5528320 6166915 8633681 8955520 9867064 12333830 17267362 17911040 19734128 24667660 34534724 39468256 43168405 49335320 69069448 78936512 86336810 98670640 138138896 157873024 172673620 197341280 276277792 315746048 345347240 394682560 552555584 690694480 789365120 1105111168 1381388960 1578730240 2210222336 2762777920 5525555840 11051111680