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207641442667 is a prime number
BaseRepresentation
bin1100000101100001100…
…1001111100101101011
3201211221220000012012111
43001120121033211223
511400222202131132
6235220020423151
721000356066341
oct3013031174553
9654856005174
10207641442667
11800731aa17a
12342aa847ab7
13167714a1099
14a09acd1991
155604245647
hex305864f96b

207641442667 has 2 divisors, whose sum is σ = 207641442668. Its totient is φ = 207641442666.

The previous prime is 207641442629. The next prime is 207641442689. The reversal of 207641442667 is 766244146702.

It is a happy number.

207641442667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 207641442667 - 27 = 207641442539 is a prime.

It is a super-2 number, since 2×2076414426672 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 207641442667.

It is not a weakly prime, because it can be changed into another prime (207641442367) 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, 103820721333 + 103820721334.

It is an arithmetic number, because the mean of its divisors is an integer number (103820721334).

Almost surely, 2207641442667 is an apocalyptic number.

207641442667 is a deficient number, since it is larger than the sum of its proper divisors (1).

207641442667 is an equidigital number, since it uses as much as digits as its factorization.

207641442667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 207641442667 in words is "two hundred seven billion, six hundred forty-one million, four hundred forty-two thousand, six hundred sixty-seven".