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18164176128001 is a prime number
BaseRepresentation
bin1000010000101001011010…
…10001000000100000000001
32101022110220122222002100001
410020110231101000200001
54340100213042044001
6102344301325200001
73553214134414201
oct410245521004001
971273818862301
1018164176128001
115873424981172
122054409a00001
13a19b4a257347
1446b217ba2401
1521775a2ac001
hex10852d440801

18164176128001 has 2 divisors, whose sum is σ = 18164176128002. Its totient is φ = 18164176128000.

The previous prime is 18164176127987. The next prime is 18164176128097. The reversal of 18164176128001 is 10082167146181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13038049958976 + 5126126169025 = 3610824^2 + 2264095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-18164176128001 is a prime.

It is not a weakly prime, because it can be changed into another prime (18164176188001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9082088064000 + 9082088064001.

It is an arithmetic number, because the mean of its divisors is an integer number (9082088064001).

Almost surely, 218164176128001 is an apocalyptic number.

It is an amenable number.

18164176128001 is a deficient number, since it is larger than the sum of its proper divisors (1).

18164176128001 is an equidigital number, since it uses as much as digits as its factorization.

18164176128001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129024, while the sum is 46.

The spelling of 18164176128001 in words is "eighteen trillion, one hundred sixty-four billion, one hundred seventy-six million, one hundred twenty-eight thousand, one".