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206974016657 is a prime number
BaseRepresentation
bin1100000011000010011…
…1001101110010010001
3201210020101010102211122
43000300213031302101
511342340322013112
6235025455252025
720645003054042
oct3006047156221
9653211112748
10206974016657
117a860489131
123414321a015
1316696128455
14a0363d68c9
1555b5859872
hex30309cdc91

206974016657 has 2 divisors, whose sum is σ = 206974016658. Its totient is φ = 206974016656.

The previous prime is 206974016651. The next prime is 206974016663. The reversal of 206974016657 is 756610479602.

It is a balanced prime because it is at equal distance from previous prime (206974016651) and next prime (206974016663).

It can be written as a sum of positive squares in only one way, i.e., 206471180881 + 502835776 = 454391^2 + 22424^2 .

It is a cyclic number.

It is not a de Polignac number, because 206974016657 - 224 = 206957239441 is a prime.

It is a super-2 number, since 2×2069740166572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206974016599 and 206974016608.

It is not a weakly prime, because it can be changed into another prime (206974016651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103487008328 + 103487008329.

It is an arithmetic number, because the mean of its divisors is an integer number (103487008329).

Almost surely, 2206974016657 is an apocalyptic number.

It is an amenable number.

206974016657 is a deficient number, since it is larger than the sum of its proper divisors (1).

206974016657 is an equidigital number, since it uses as much as digits as its factorization.

206974016657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 206974016657 in words is "two hundred six billion, nine hundred seventy-four million, sixteen thousand, six hundred fifty-seven".