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185293228849 = 172253212
BaseRepresentation
bin1010110010010001010…
…1100100101100110001
3122201021101220022011121
42230210111210230301
511013440031310344
6221042244542241
716246511313121
oct2544425445461
9581241808147
10185293228849
1171645219383
122bab23b1981
131461c46cc21
148d7abcac81
154c47282684
hex2b24564b31

185293228849 has 9 divisors (see below), whose sum is σ = 196841757441. Its totient is φ = 174386739840.

The previous prime is 185293228829. The next prime is 185293228871. The reversal of 185293228849 is 948822392581.

The square root of 185293228849 is 430457.

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 63330239025 + 121962989824 = 251655^2 + 349232^2 .

It is not a de Polignac number, because 185293228849 - 27 = 185293228721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (185293228829) 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 8 ways as a sum of consecutive naturals, for example, 7305109 + ... + 7330429.

Almost surely, 2185293228849 is an apocalyptic number.

185293228849 is the 430457-th square number.

185293228849 is the 215229-th centered octagonal number.

It is an amenable number.

185293228849 is a deficient number, since it is larger than the sum of its proper divisors (11548528592).

185293228849 is an frugal number, since it uses more digits than its factorization.

185293228849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50676 (or 25338 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 61.

The spelling of 185293228849 in words is "one hundred eighty-five billion, two hundred ninety-three million, two hundred twenty-eight thousand, eight hundred forty-nine".

Divisors: 1 17 289 25321 430457 7317769 641153041 10899601697 185293228849