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84602448225 = 3252193912
BaseRepresentation
bin100111011001010110…
…0101110100101100001
322002101002102200001100
41032302230232211201
52341231211320400
6102511004025013
76053345642001
oct1166254564541
9262332380040
1084602448225
11329749705a9
1214491232169
137c937cb569
144148112001
152302597100
hex13b2b2e961

84602448225 has 27 divisors (see below), whose sum is σ = 151540200019. Its totient is φ = 45118978800.

The previous prime is 84602448211. The next prime is 84602448233. The reversal of 84602448225 is 52284420648.

The square root of 84602448225 is 290865.

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., 30456881361 + 54145566864 = 174519^2 + 232692^2 .

It is not a de Polignac number, because 84602448225 - 25 = 84602448193 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 4353280 + ... + 4372670.

Almost surely, 284602448225 is an apocalyptic number.

84602448225 is the 290865-th square number.

84602448225 is the 145433-rd centered octagonal number.

It is an amenable number.

84602448225 is a deficient number, since it is larger than the sum of its proper divisors (66937751794).

84602448225 is an frugal number, since it uses more digits than its factorization.

84602448225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38798 (or 19399 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 84602448225 in words is "eighty-four billion, six hundred two million, four hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 19391 58173 96955 174519 290865 484775 872595 1454325 4362975 376010881 1128032643 1880054405 3384097929 5640163215 9400272025 16920489645 28200816075 84602448225