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164546516081 is a prime number
BaseRepresentation
bin1001100100111110111…
…1001001010001110001
3120201201112022002120102
42121033233021101301
510143442402003311
6203331442522145
714613421211063
oct2311757112161
9521645262512
10164546516081
1163869244a72
1227a82366355
131269417bb1c
147d6d68b733
154430bb843b
hex264fbc9471

164546516081 has 2 divisors, whose sum is σ = 164546516082. Its totient is φ = 164546516080.

The previous prime is 164546516023. The next prime is 164546516129. The reversal of 164546516081 is 180615645461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157049727025 + 7496789056 = 396295^2 + 86584^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164546516081 is a prime.

It is a super-2 number, since 2×1645465160812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (164546516021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82273258040 + 82273258041.

It is an arithmetic number, because the mean of its divisors is an integer number (82273258041).

Almost surely, 2164546516081 is an apocalyptic number.

It is an amenable number.

164546516081 is a deficient number, since it is larger than the sum of its proper divisors (1).

164546516081 is an equidigital number, since it uses as much as digits as its factorization.

164546516081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 164546516081 in words is "one hundred sixty-four billion, five hundred forty-six million, five hundred sixteen thousand, eighty-one".