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208208448541 is a prime number
BaseRepresentation
bin1100000111101000110…
…0001100110000011101
3201220102101221002001001
43001322030030300131
511402402330323131
6235352153350301
721020412416602
oct3017214146035
9656371832031
10208208448541
1180334272075
1234428708391
1316831ab6c12
14a11232a6a9
155638de7261
hex307a30cc1d

208208448541 has 2 divisors, whose sum is σ = 208208448542. Its totient is φ = 208208448540.

The previous prime is 208208448493. The next prime is 208208448611. The reversal of 208208448541 is 145844802802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116250312025 + 91958136516 = 340955^2 + 303246^2 .

It is a cyclic number.

It is not a de Polignac number, because 208208448541 - 217 = 208208317469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 208208448491 and 208208448500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208208448641) 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, 104104224270 + 104104224271.

It is an arithmetic number, because the mean of its divisors is an integer number (104104224271).

Almost surely, 2208208448541 is an apocalyptic number.

It is an amenable number.

208208448541 is a deficient number, since it is larger than the sum of its proper divisors (1).

208208448541 is an equidigital number, since it uses as much as digits as its factorization.

208208448541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 655360, while the sum is 46.

The spelling of 208208448541 in words is "two hundred eight billion, two hundred eight million, four hundred forty-eight thousand, five hundred forty-one".