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337467072413 is a prime number
BaseRepresentation
bin1001110100100101001…
…10101101111110011101
31012021001122211111210202
410322102212231332131
521012113032304123
6415010310313245
733244514533532
oct4722246557635
91167048744722
10337467072413
11120134401359
12554a1058825
1325a911c3343
141249516ad89
158ba1b13a28
hex4e929adf9d

337467072413 has 2 divisors, whose sum is σ = 337467072414. Its totient is φ = 337467072412.

The previous prime is 337467072389. The next prime is 337467072421. The reversal of 337467072413 is 314270764733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329983611364 + 7483461049 = 574442^2 + 86507^2 .

It is an emirp because it is prime and its reverse (314270764733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 337467072413 - 212 = 337467068317 is a prime.

It is a super-2 number, since 2×3374670724132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (337467072013) 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, 168733536206 + 168733536207.

It is an arithmetic number, because the mean of its divisors is an integer number (168733536207).

Almost surely, 2337467072413 is an apocalyptic number.

It is an amenable number.

337467072413 is a deficient number, since it is larger than the sum of its proper divisors (1).

337467072413 is an equidigital number, since it uses as much as digits as its factorization.

337467072413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1778112, while the sum is 47.

The spelling of 337467072413 in words is "three hundred thirty-seven billion, four hundred sixty-seven million, seventy-two thousand, four hundred thirteen".