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6108485256225 = 345211249932
BaseRepresentation
bin101100011100011111000…
…0110000000010000100001
3210121222001211200120110000
41120320332012000100201
51300040134211144400
620554111022330213
71200215646656052
oct130707606002041
923558054616400
106108485256225
111a45659752100
12827a47429969
13354048aa48c1
1417191bb52729
15a8d680c2600
hex58e3e180421

6108485256225 has 135 divisors (see below), whose sum is σ = 12439669056969. Its totient is φ = 2961096652800.

The previous prime is 6108485256173. The next prime is 6108485256233. The reversal of 6108485256225 is 5226525848016.

The square root of 6108485256225 is 2471535.

It is a perfect power (a square), and thus also a powerful number.

6108485256225 is a `hidden beast` number, since 6 + 1 + 0 + 8 + 4 + 8 + 5 + 2 + 5 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 521294108049 + 5587191148176 = 722007^2 + 2363724^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6108485256225 - 29 = 6108485255713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1223407329 + ... + 1223412321.

Almost surely, 26108485256225 is an apocalyptic number.

6108485256225 is the 2471535-th square number.

6108485256225 is the 1235768-th centered octagonal number.

It is an amenable number.

6108485256225 is an abundant number, since it is smaller than the sum of its proper divisors (6331183800744).

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

6108485256225 is an frugal number, since it uses more digits than its factorization.

6108485256225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 6108485256225 in words is "six trillion, one hundred eight billion, four hundred eighty-five million, two hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 363 405 495 605 675 825 891 1089 1485 1815 2025 2475 3025 3267 4455 4993 5445 7425 9075 9801 14979 16335 22275 24965 27225 44937 49005 54923 74895 81675 124825 134811 164769 224685 245025 274615 374475 404433 494307 604153 674055 823845 1123425 1373075 1482921 1812459 2022165 2471535 3020765 3370275 4119225 4448763 5437377 7414605 9062295 10110825 12357675 15103825 16312131 22243815 24930049 27186885 37073025 45311475 48936393 74790147 81560655 111219075 124650245 135934425 224370441 244681965 274230539 373950735 407803275 623251225 673111323 822691617 1121852205 1223409825 1371152695 1869753675 2019333969 2468074851 3016535929 3365556615 4113458085 5609261025 6855763475 7404224553 9049607787 10096669845 12340374255 15082679645 16827783075 20567290425 22212673659 27148823361 37021122765 45248038935 50483349225 61701871275 75413398225 81446470083 111063368295 135744116805 185105613825 226240194675 244339410249 407232350415 555316841475 678720584025 1221697051245 2036161752075 6108485256225