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364364360141 is a prime number
BaseRepresentation
bin1010100110101011100…
…11101110100111001101
31021211111011211022002112
411103111303232213031
521432204234011031
6435215304433405
735216200650155
oct5232563564715
91254434738075
10364364360141
11130587200771
125a748a78865
1328489820a02
14138c74b3765
15972815a62b
hex54d5cee9cd

364364360141 has 2 divisors, whose sum is σ = 364364360142. Its totient is φ = 364364360140.

The previous prime is 364364360093. The next prime is 364364360161. The reversal of 364364360141 is 141063463463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359554937641 + 4809422500 = 599629^2 + 69350^2 .

It is a cyclic number.

It is not a de Polignac number, because 364364360141 - 222 = 364360165837 is a prime.

It is a super-2 number, since 2×3643643601412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (364364360161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182182180070 + 182182180071.

It is an arithmetic number, because the mean of its divisors is an integer number (182182180071).

Almost surely, 2364364360141 is an apocalyptic number.

It is an amenable number.

364364360141 is a deficient number, since it is larger than the sum of its proper divisors (1).

364364360141 is an equidigital number, since it uses as much as digits as its factorization.

364364360141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 41.

The spelling of 364364360141 in words is "three hundred sixty-four billion, three hundred sixty-four million, three hundred sixty thousand, one hundred forty-one".