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3027547800225 = 325213289232
BaseRepresentation
bin101100000011100111111…
…010010100001010100001
3101201102122000022112010100
4230003213322110022201
5344100404214101400
610234500344253013
7431506312460334
oct54034772241241
911642560275110
103027547800225
11a67a80894823
1240a913771169
1318c65bb60900
14a67697b461b
1553b47e35100
hex2c0e7e942a1

3027547800225 has 81 divisors (see below), whose sum is σ = 5872548279897. Its totient is φ = 1490318032320.

The previous prime is 3027547800113. The next prime is 3027547800229. The reversal of 3027547800225 is 5220087457203.

The square root of 3027547800225 is 1739985.

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

3027547800225 is a `hidden beast` number, since 3 + 0 + 2 + 7 + 547 + 80 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 780354924129 + 2247192876096 = 883377^2 + 1499064^2 .

It is not a de Polignac number, because 3027547800225 - 239 = 2477791986337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3027547800229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 339292614 + ... + 339301536.

Almost surely, 23027547800225 is an apocalyptic number.

3027547800225 is the 1739985-th square number.

3027547800225 is the 869993-rd centered octagonal number.

It is an amenable number.

3027547800225 is a deficient number, since it is larger than the sum of its proper divisors (2845000479672).

3027547800225 is an frugal number, since it uses more digits than its factorization.

3027547800225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17888 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 3027547800225 in words is "three trillion, twenty-seven billion, five hundred forty-seven million, eight hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 8923 12675 26769 38025 44615 80307 115999 133845 223075 347997 401535 579995 669225 1043991 1507987 1739985 2007675 2899975 4523961 5219955 7539935 8699925 13571883 22619805 26099775 37699675 67859415 79619929 113099025 238859787 339297075 398099645 716579361 1035059077 1194298935 1990498225 3105177231 3582896805 5175295385 5971494675 9315531693 13455768001 15525886155 17914484025 25876476925 40367304003 46577658465 67278840005 77629430775 121101912009 201836520015 232888292325 336394200025 605509560045 1009182600075 3027547800225