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64114203454321 is a prime number
BaseRepresentation
bin11101001001111110000000…
…10100100110101101110001
322102000020222002000210120211
432210333000110212231301
531400421342041014241
6344205354120504121
716335045505331056
oct1644770024465561
9272006862023524
1064114203454321
111947975443a279
12723591901b041
1329a0c3598bba7
1411b920321102d
15762b56bb8781
hex3a4fc0526b71

64114203454321 has 2 divisors, whose sum is σ = 64114203454322. Its totient is φ = 64114203454320.

The previous prime is 64114203454309. The next prime is 64114203454333. The reversal of 64114203454321 is 12345430241146.

64114203454321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (64114203454309) and next prime (64114203454333).

It can be written as a sum of positive squares in only one way, i.e., 51421806810000 + 12692396644321 = 7170900^2 + 3562639^2 .

It is a cyclic number.

It is not a de Polignac number, because 64114203454321 - 213 = 64114203446129 is a prime.

It is a super-2 number, since 2×641142034543212 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (64114203454351) 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, 32057101727160 + 32057101727161.

It is an arithmetic number, because the mean of its divisors is an integer number (32057101727161).

Almost surely, 264114203454321 is an apocalyptic number.

It is an amenable number.

64114203454321 is a deficient number, since it is larger than the sum of its proper divisors (1).

64114203454321 is an equidigital number, since it uses as much as digits as its factorization.

64114203454321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 64114203454321 its reverse (12345430241146), we get a palindrome (76459633695467).

The spelling of 64114203454321 in words is "sixty-four trillion, one hundred fourteen billion, two hundred three million, four hundred fifty-four thousand, three hundred twenty-one".