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8275477684369 = 722923723832
BaseRepresentation
bin111100001101100100011…
…1010000110000010010001
31002022010110021020201120011
41320123020322012002101
52041041134241344434
625333411342514521
71512612023462200
oct170331072060221
932263407221504
108275477684369
112700679458885
12b17a14895a41
134804b315a21c
1420876ca61237
15e53e685ce64
hex786c8e86091

8275477684369 has 81 divisors (see below), whose sum is σ = 10273538656017. Its totient is φ = 6646173605568.

The previous prime is 8275477684361. The next prime is 8275477684379. The reversal of 8275477684369 is 9634867745728.

The square root of 8275477684369 is 2876713.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1761181139025 + 6514296545344 = 1327095^2 + 2552312^2 .

It is not a de Polignac number, because 8275477684369 - 23 = 8275477684361 is a prime.

It is a super-2 number, since 2×82754776843692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8275477684295 and 8275477684304.

It is not an unprimeable number, because it can be changed into a prime (8275477684361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21606991152 + ... + 21606991534.

Almost surely, 28275477684369 is an apocalyptic number.

8275477684369 is the 2876713-rd square number.

8275477684369 is the 1438357-th centered octagonal number.

It is an amenable number.

8275477684369 is a deficient number, since it is larger than the sum of its proper divisors (1998060971648).

8275477684369 is an frugal number, since it uses more digits than its factorization.

8275477684369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 456 counting only the distinct ones).

The product of its digits is 3413975040, while the sum is 76.

The spelling of 8275477684369 in words is "eight trillion, two hundred seventy-five billion, four hundred seventy-seven million, six hundred eighty-four thousand, three hundred sixty-nine".

Divisors: 1 7 29 37 49 203 259 383 841 1073 1369 1421 1813 2681 5887 7511 9583 11107 14171 18767 31117 39701 41209 52577 67081 77749 99197 146689 217819 277907 322103 410959 524327 544243 694379 1026823 1151329 1524733 1945349 2254721 2876713 3670289 4253981 5427493 7187761 8059303 11917811 15205483 15783047 20136991 25692023 29777867 37992451 56415121 83424677 106438381 123365449 157397297 200817241 208445069 265947157 440959007 583972739 745068667 863558143 1101781079 1405720687 3086713049 4564521613 5823699989 6044907001 7712467553 9840044809 21606991343 31951651291 40765899923 168887299681 223661559037 285361299461 1182211097767 8275477684369