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217413045649 is a prime number
BaseRepresentation
bin1100101001111011010…
…0111100110110010001
3202210011220000001112001
43022132310330312101
512030230214430044
6243513404034001
721464461252642
oct3123664746621
9683156001461
10217413045649
1184227aa6118
1236177232901
131766aa70a97
14a74699d6c9
1559c703a2d4
hex329ed3cd91

217413045649 has 2 divisors, whose sum is σ = 217413045650. Its totient is φ = 217413045648.

The previous prime is 217413045517. The next prime is 217413045671. The reversal of 217413045649 is 946540314712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217209127249 + 203918400 = 466057^2 + 14280^2 .

It is a cyclic number.

It is not a de Polignac number, because 217413045649 - 217 = 217412914577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217413045599 and 217413045608.

It is not a weakly prime, because it can be changed into another prime (217413045049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108706522824 + 108706522825.

It is an arithmetic number, because the mean of its divisors is an integer number (108706522825).

Almost surely, 2217413045649 is an apocalyptic number.

It is an amenable number.

217413045649 is a deficient number, since it is larger than the sum of its proper divisors (1).

217413045649 is an equidigital number, since it uses as much as digits as its factorization.

217413045649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 217413045649 in words is "two hundred seventeen billion, four hundred thirteen million, forty-five thousand, six hundred forty-nine".