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2007041364749 is a prime number
BaseRepresentation
bin11101001101001100111…
…111001101001100001101
321002212112011102020112002
4131031030333031030031
5230340410042132444
64134004433522045
7265001233055201
oct35151477151415
97085464366462
102007041364749
117041aa5883a3
12284b8a113325
131173562c10a5
146d1d9ad6b01
153731b267d4e
hex1d34cfcd30d

2007041364749 has 2 divisors, whose sum is σ = 2007041364750. Its totient is φ = 2007041364748.

The previous prime is 2007041364737. The next prime is 2007041364773. The reversal of 2007041364749 is 9474631407002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1958572260100 + 48469104649 = 1399490^2 + 220157^2 .

It is a cyclic number.

It is not a de Polignac number, because 2007041364749 - 216 = 2007041299213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2007041364719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003520682374 + 1003520682375.

It is an arithmetic number, because the mean of its divisors is an integer number (1003520682375).

Almost surely, 22007041364749 is an apocalyptic number.

It is an amenable number.

2007041364749 is a deficient number, since it is larger than the sum of its proper divisors (1).

2007041364749 is an equidigital number, since it uses as much as digits as its factorization.

2007041364749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 2007041364749 in words is "two trillion, seven billion, forty-one million, three hundred sixty-four thousand, seven hundred forty-nine".