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305666342641 = 112502612
BaseRepresentation
bin1000111001010110010…
…00100011111011110001
31002012222102011001120101
410130223020203323301
520002001040431031
6352230550312401
731040461020622
oct4345310437361
91065872131511
10305666342641
111086a5755400
124b2a7058701
1322a93a43c8a
1410b198d9a49
157e3ed8a361
hex472b223ef1

305666342641 has 9 divisors (see below), whose sum is σ = 335987044939. Its totient is φ = 277872964600.

The previous prime is 305666342623. The next prime is 305666342651. The reversal of 305666342641 is 146243666503.

The square root of 305666342641 is 552871.

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., 58239686241 + 247426656400 = 241329^2 + 497420^2 .

It is not a de Polignac number, because 305666342641 - 211 = 305666340593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 305666342591 and 305666342600.

It is not an unprimeable number, because it can be changed into a prime (305666342651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6056451 + ... + 6106711.

Almost surely, 2305666342641 is an apocalyptic number.

305666342641 is the 552871-st square number.

305666342641 is the 276436-th centered octagonal number.

It is an amenable number.

305666342641 is a deficient number, since it is larger than the sum of its proper divisors (30320702298).

305666342641 is an frugal number, since it uses more digits than its factorization.

305666342641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100544 (or 50272 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 305666342641 in words is "three hundred five billion, six hundred sixty-six million, three hundred forty-two thousand, six hundred forty-one".

Divisors: 1 11 121 50261 552871 6081581 2526168121 27787849331 305666342641