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11206225606072 = 23719231632809327
BaseRepresentation
bin1010001100010010011100…
…0110001011010110111000
31110200022020010111220211111
42203010213012023112320
52432100322223343242
635500022522010104
72234423501001340
oct243044706132670
943608203456744
1011206225606072
1136305962330a2
12130ba12346934
136339864902b3
142aa5543d1d20
1514677647c817
hexa312718b5b8

11206225606072 has 128 divisors (see below), whose sum is σ = 26538036019200. Its totient is φ = 4325373157248.

The previous prime is 11206225606019. The next prime is 11206225606097. The reversal of 11206225606072 is 27060652260211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584273 + ... + 5393599.

It is an arithmetic number, because the mean of its divisors is an integer number (207328406400).

Almost surely, 211206225606072 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 11206225606072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269018009600).

11206225606072 is an abundant number, since it is smaller than the sum of its proper divisors (15331810413128).

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

11206225606072 is a wasteful number, since it uses less digits than its factorization.

11206225606072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809545 (or 2809541 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 11206225606072 its reverse (27060652260211), we get a palindrome (38266877866283).

The spelling of 11206225606072 in words is "eleven trillion, two hundred six billion, two hundred twenty-five million, six hundred six thousand, seventy-two".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 133 152 161 163 184 266 322 326 437 532 644 652 874 1064 1141 1288 1304 1748 2282 3059 3097 3496 3749 4564 6118 6194 7498 9128 12236 12388 14996 21679 24472 24776 26243 29992 43358 52486 71231 86716 104972 142462 173432 209944 284924 498617 569848 997234 1994468 2809327 3988936 5618654 11237308 19665289 22474616 39330578 53377213 64614521 78661156 106754426 129229042 157322312 213508852 258458084 373640491 427017704 452301647 457920301 516916168 747280982 904603294 915840602 1227675899 1494561964 1809206588 1831681204 2455351798 2989123928 3205442107 3618413176 3663362408 4910703596 6410884214 8593731293 8700485719 9821407192 10532166923 12821768428 17187462586 17400971438 21064333846 25643536856 34374925172 34801942876 42128667692 60903400033 68749850344 69603885752 73725168461 84257335384 121806800066 147450336922 200111171537 243613600132 294900673844 400222343074 487227200264 589801347688 800444686148 1400778200759 1600889372296 2801556401518 5603112803036 11206225606072