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2735066401 is a prime number
BaseRepresentation
bin1010001100000101…
…1100110100100001
321001121111202202121
42203001130310201
521100134111101
61131221544241
7124530452344
oct24301346441
97047452677
102735066401
111183967961
12643b75081
133478437b2
141bd36045b
151101b00a1
hexa305cd21

2735066401 has 2 divisors, whose sum is σ = 2735066402. Its totient is φ = 2735066400.

The previous prime is 2735066371. The next prime is 2735066407. The reversal of 2735066401 is 1046605372.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2018165776 + 716900625 = 44924^2 + 26775^2 .

It is a cyclic number.

It is not a de Polignac number, because 2735066401 - 27 = 2735066273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2735066407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1367533200 + 1367533201.

It is an arithmetic number, because the mean of its divisors is an integer number (1367533201).

Almost surely, 22735066401 is an apocalyptic number.

It is an amenable number.

2735066401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2735066401 is an equidigital number, since it uses as much as digits as its factorization.

2735066401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2735066401 is about 52297.8622985682. The cubic root of 2735066401 is about 1398.4790286450.

The spelling of 2735066401 in words is "two billion, seven hundred thirty-five million, sixty-six thousand, four hundred one".