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217828287049 is a prime number
BaseRepresentation
bin1100101011011110010…
…0111110001001001001
3202211020211100111122011
43022313210332021021
512032103020141144
6244022520055521
721510662614162
oct3126744761111
9684224314564
10217828287049
118442043112a
12362723045a1
1317705aba859
14a785bb0769
1559ed70ea34
hex32b793e249

217828287049 has 2 divisors, whose sum is σ = 217828287050. Its totient is φ = 217828287048.

The previous prime is 217828286993. The next prime is 217828287059. The reversal of 217828287049 is 940782828712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183938054400 + 33890232649 = 428880^2 + 184093^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217828287049 is a prime.

It is a super-2 number, since 2×2178282870492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 217828286984 and 217828287002.

It is not a weakly prime, because it can be changed into another prime (217828287059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108914143524 + 108914143525.

It is an arithmetic number, because the mean of its divisors is an integer number (108914143525).

Almost surely, 2217828287049 is an apocalyptic number.

It is an amenable number.

217828287049 is a deficient number, since it is larger than the sum of its proper divisors (1).

217828287049 is an equidigital number, since it uses as much as digits as its factorization.

217828287049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7225344, while the sum is 58.

The spelling of 217828287049 in words is "two hundred seventeen billion, eight hundred twenty-eight million, two hundred eighty-seven thousand, forty-nine".