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73449130225 = 526728092
BaseRepresentation
bin100010001100111101…
…0001100100011110001
321000120210111102001111
41010121322030203301
52200410434131400
653424141433321
75210065206622
oct1043172144361
9230523442044
1073449130225
1129171134719
1212299b6b841
136c06bb2a03
1437aab31a49
151d9d3203ba
hex1119e8c8f1

73449130225 has 27 divisors (see below), whose sum is σ = 92570993697. Its totient is φ = 57810751680.

The previous prime is 73449130177. The next prime is 73449130229. The reversal of 73449130225 is 52203194437.

The square root of 73449130225 is 271015.

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 6009195361 + 67439934864 = 77519^2 + 259692^2 .

It is not a de Polignac number, because 73449130225 - 29 = 73449129713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73449130229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90789621 + ... + 90790429.

Almost surely, 273449130225 is an apocalyptic number.

73449130225 is the 271015-th square number.

73449130225 is the 135508-th centered octagonal number.

It is an amenable number.

73449130225 is a deficient number, since it is larger than the sum of its proper divisors (19121863472).

73449130225 is an frugal number, since it uses more digits than its factorization.

73449130225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 73449130225 in words is "seventy-three billion, four hundred forty-nine million, one hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 25 67 335 809 1675 4045 4489 20225 22445 54203 112225 271015 654481 1355075 3272405 3631601 16362025 18158005 43850227 90790025 219251135 1096255675 2937965209 14689826045 73449130225