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81787420225 = 527281712
BaseRepresentation
bin100110000101011101…
…0001111111001000001
321211002220110102121001
41030022322033321001
52320000034421400
6101323404132001
75623524413200
oct1141272177101
9254086412531
1081787420225
113175a959385
1213a26537001
13793553c014
143d5c2d9237
1521da38ea6a
hex130ae8fe41

81787420225 has 27 divisors (see below), whose sum is σ = 117988620771. Its totient is φ = 56075938800.

The previous prime is 81787420217. The next prime is 81787420237. The reversal of 81787420225 is 52202478718.

It is a happy number.

The square root of 81787420225 is 285985.

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

It can be written as a sum of positive squares in only one way, i.e., 29443471281 + 52343948944 = 171591^2 + 228788^2 .

It is not a de Polignac number, because 81787420225 - 23 = 81787420217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10005390 + ... + 10013560.

Almost surely, 281787420225 is an apocalyptic number.

81787420225 is the 285985-th square number.

81787420225 is the 142993-rd centered octagonal number.

It is an amenable number.

81787420225 is a deficient number, since it is larger than the sum of its proper divisors (36201200546).

81787420225 is an frugal number, since it uses more digits than its factorization.

81787420225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16366 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 46.

The spelling of 81787420225 in words is "eighty-one billion, seven hundred eighty-seven million, four hundred twenty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 8171 40855 57197 204275 285985 400379 1429925 2001895 10009475 66765241 333826205 467356687 1669131025 2336783435 3271496809 11683917175 16357484045 81787420225