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164344460369 is a prime number
BaseRepresentation
bin1001100100001110110…
…0010111010001010001
3120201012110002121020112
42121003230113101101
510143034140212434
6203255424051105
714605415602265
oct2310354272121
9521173077215
10164344460369
1163775188581
1227a26763a95
1312661354c2b
147d508d20a5
15441d0a4dce
hex2643b17451

164344460369 has 2 divisors, whose sum is σ = 164344460370. Its totient is φ = 164344460368.

The previous prime is 164344460279. The next prime is 164344460381. The reversal of 164344460369 is 963064443461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163264483600 + 1079976769 = 404060^2 + 32863^2 .

It is a cyclic number.

It is not a de Polignac number, because 164344460369 - 224 = 164327683153 is a prime.

It is a super-2 number, since 2×1643444603692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (164344462369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82172230184 + 82172230185.

It is an arithmetic number, because the mean of its divisors is an integer number (82172230185).

Almost surely, 2164344460369 is an apocalyptic number.

It is an amenable number.

164344460369 is a deficient number, since it is larger than the sum of its proper divisors (1).

164344460369 is an equidigital number, since it uses as much as digits as its factorization.

164344460369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 164344460369 in words is "one hundred sixty-four billion, three hundred forty-four million, four hundred sixty thousand, three hundred sixty-nine".