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8856486720225 = 345241216132
BaseRepresentation
bin1000000011100000111110…
…1111101011001011100001
31011100200010210020211210000
42000320033233223023201
52130101041100021400
630500340330530213
71602600666006624
oct200701757531341
934320123224700
108856486720225
112905018957991
12bb0543596969
134c3217491a31
14228928a3ddbb
1510559e328600
hex80e0fbeb2e1

8856486720225 has 135 divisors (see below), whose sum is σ = 16825594037659. Its totient is φ = 4605396307200.

The previous prime is 8856486720199. The next prime is 8856486720311. The reversal of 8856486720225 is 5220276846588.

It is a happy number.

The square root of 8856486720225 is 2975985.

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

8856486720225 is a `hidden beast` number, since 8 + 8 + 564 + 8 + 67 + 2 + 0 + 2 + 2 + 5 = 666.

8856486720225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 8487474208929 + 369012511296 = 2913327^2 + 607464^2 .

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

It is not a de Polignac number, because 8856486720225 - 29 = 8856486719713 is a prime.

It is a Duffinian number.

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, 5490691519 + ... + 5490693131.

Almost surely, 28856486720225 is an apocalyptic number.

8856486720225 is the 2975985-th square number.

8856486720225 is the 1487993-rd centered octagonal number.

It is an amenable number.

8856486720225 is a deficient number, since it is larger than the sum of its proper divisors (7969107317434).

8856486720225 is an frugal number, since it uses more digits than its factorization.

8856486720225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 8856486720225 in words is "eight trillion, eight hundred fifty-six billion, four hundred eighty-six million, seven hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 135 205 225 369 405 615 675 1025 1107 1613 1681 1845 2025 3075 3321 4839 5043 5535 8065 8405 9225 14517 15129 16605 24195 25215 27675 40325 42025 43551 45387 66133 72585 75645 83025 120975 126075 130653 136161 198399 217755 226935 330665 362925 378225 595197 653265 680805 991995 1088775 1134675 1653325 1785591 2601769 2711453 2975985 3266325 3404025 4959975 5356773 7805307 8134359 8927955 13008845 13557265 14879925 23415921 24403077 26783865 39026535 40671795 44639775 65044225 67786325 70247763 73209231 106672529 117079605 122015385 133919325 195132675 203358975 210743289 219627693 320017587 351238815 366046155 533362645 585398025 610076925 960052761 1053716445 1098138465 1600087935 1756194075 1830230775 2666813225 2880158283 4373573689 4800263805 5268582225 5490692325 8000439675 8640474849 13120721067 14400791415 21867868445 24001319025 39362163201 43202374245 65603605335 72003957075 109339342225 118086489603 196810816005 216011871225 328018026675 354259468809 590432448015 984054080025 1771297344045 2952162240075 8856486720225