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247205550349 is a prime number
BaseRepresentation
bin1110011000111010011…
…0010101100100001101
3212122002011212002212001
43212032212111210031
513022234110102344
6305321544512301
723600661336142
oct3461646254415
9778064762761
10247205550349
11959260a792a
123bab077b691
131a4081560a4
14bd716343c9
15666c828ed4
hex398e99590d

247205550349 has 2 divisors, whose sum is σ = 247205550350. Its totient is φ = 247205550348.

The previous prime is 247205550307. The next prime is 247205550373. The reversal of 247205550349 is 943055502742.

247205550349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240646170249 + 6559380100 = 490557^2 + 80990^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-247205550349 is a prime.

It is a super-2 number, since 2×2472055503492 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247205550299 and 247205550308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (247205550049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123602775174 + 123602775175.

It is an arithmetic number, because the mean of its divisors is an integer number (123602775175).

Almost surely, 2247205550349 is an apocalyptic number.

It is an amenable number.

247205550349 is a deficient number, since it is larger than the sum of its proper divisors (1).

247205550349 is an equidigital number, since it uses as much as digits as its factorization.

247205550349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 247205550349 in words is "two hundred forty-seven billion, two hundred five million, five hundred fifty thousand, three hundred forty-nine".