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736740013 is a prime number
BaseRepresentation
bin101011111010011…
…100001010101101
31220100022021022011
4223322130022231
53002101140023
6201034521221
724154121032
oct5372341255
91810267264
10736740013
11348963749
12186896211
13b9834149
146dbbd389
1544a2d50d
hex2be9c2ad

736740013 has 2 divisors, whose sum is σ = 736740014. Its totient is φ = 736740012.

The previous prime is 736740007. The next prime is 736740073. The reversal of 736740013 is 310047637.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 659616489 + 77123524 = 25683^2 + 8782^2 .

It is an emirp because it is prime and its reverse (310047637) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 736740013 - 229 = 199869101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (736740073) 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 as a sum of consecutive naturals, namely, 368370006 + 368370007.

It is an arithmetic number, because the mean of its divisors is an integer number (368370007).

Almost surely, 2736740013 is an apocalyptic number.

It is an amenable number.

736740013 is a deficient number, since it is larger than the sum of its proper divisors (1).

736740013 is an equidigital number, since it uses as much as digits as its factorization.

736740013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 736740013 is about 27142.9551265149. The cubic root of 736740013 is about 903.1739838503.

The spelling of 736740013 in words is "seven hundred thirty-six million, seven hundred forty thousand, thirteen".