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11086201728 = 27347152753
BaseRepresentation
bin10100101001100101…
…00000001110000000
31001121121122101210000
422110302200032000
5140201031423403
65032023440000
7541504105560
oct122462401600
931547571700
1011086201728
114779965498
1221948b6000
131078a497a4
1477250cda0
1544d41a7a3
hex294ca0380

11086201728 has 160 divisors (see below), whose sum is σ = 37705797360. Its totient is φ = 3167465472.

The previous prime is 11086201703. The next prime is 11086201747. The reversal of 11086201728 is 82710268011.

11086201728 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 620 + 1 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11086201692 and 11086201701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3801 + ... + 148952.

Almost surely, 211086201728 is an apocalyptic number.

11086201728 is a gapful number since it is divisible by the number (18) 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 11086201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852898680).

11086201728 is an abundant number, since it is smaller than the sum of its proper divisors (26619595632).

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

11086201728 is an equidigital number, since it uses as much as digits as its factorization.

11086201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152786 (or 152765 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 11086201728 its reverse (82710268011), we get a palindrome (93796469739).

The spelling of 11086201728 in words is "eleven billion, eighty-six million, two hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 152753 305506 458259 611012 916518 1069271 1222024 1374777 1833036 2138542 2444048 2749554 3207813 3666072 4124331 4277084 4888096 5499108 6415626 7332144 8248662 8554168 9623439 9776192 10998216 12372993 12831252 14664288 16497324 17108336 19246878 19552384 21996432 24745986 25662504 28870317 29328576 32994648 34216672 38493756 43992864 49491972 51325008 57740634 58657152 65989296 68433344 76987512 86610951 87985728 98983944 102650016 115481268 131978592 136866688 153975024 173221902 175971456 197967888 205300032 230962536 263957184 307950048 346443804 395935776 410600064 461925072 527914368 615900096 692887608 791871552 923850144 1231800192 1385775216 1583743104 1847700288 2771550432 3695400576 5543100864 11086201728