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1686172723217 is a prime number
BaseRepresentation
bin11000100010010111101…
…110011110100000010001
312222012022021110101100122
4120202113232132200101
5210111240204120332
63330341141200025
7232551634444163
oct30422756364021
95865267411318
101686172723217
115a01135a8914
1223295ba00015
13c300bb505a8
145b87b196933
152dcdb957c12
hex18897b9e811

1686172723217 has 2 divisors, whose sum is σ = 1686172723218. Its totient is φ = 1686172723216.

The previous prime is 1686172723187. The next prime is 1686172723223. The reversal of 1686172723217 is 7123272716861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1665521883601 + 20650839616 = 1290551^2 + 143704^2 .

It is a cyclic number.

It is not a de Polignac number, because 1686172723217 - 236 = 1617453246481 is a prime.

It is not a weakly prime, because it can be changed into another prime (1686172323217) 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, 843086361608 + 843086361609.

It is an arithmetic number, because the mean of its divisors is an integer number (843086361609).

Almost surely, 21686172723217 is an apocalyptic number.

It is an amenable number.

1686172723217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1686172723217 is an equidigital number, since it uses as much as digits as its factorization.

1686172723217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2370816, while the sum is 53.

The spelling of 1686172723217 in words is "one trillion, six hundred eighty-six billion, one hundred seventy-two million, seven hundred twenty-three thousand, two hundred seventeen".