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688547203361 is a prime number
BaseRepresentation
bin10100000010100001001…
…11001000100100100001
32102211021001001001021122
422001100213020210201
542240121041001421
61244151512102025
7100513561442603
oct12012047104441
92384231031248
10688547203361
11246013a45006
12b1541094915
134cc117a69b4
142547c249173
1512d9d8c62ab
hexa0509c8921

688547203361 has 2 divisors, whose sum is σ = 688547203362. Its totient is φ = 688547203360.

The previous prime is 688547203303. The next prime is 688547203363. The reversal of 688547203361 is 163302745886.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 619280859136 + 69266344225 = 786944^2 + 263185^2 .

It is a cyclic number.

It is not a de Polignac number, because 688547203361 - 222 = 688543009057 is a prime.

Together with 688547203363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (688547203363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344273601680 + 344273601681.

It is an arithmetic number, because the mean of its divisors is an integer number (344273601681).

Almost surely, 2688547203361 is an apocalyptic number.

It is an amenable number.

688547203361 is a deficient number, since it is larger than the sum of its proper divisors (1).

688547203361 is an equidigital number, since it uses as much as digits as its factorization.

688547203361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 688547203361 in words is "six hundred eighty-eight billion, five hundred forty-seven million, two hundred three thousand, three hundred sixty-one".