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1364434436401 is a prime number
BaseRepresentation
bin10011110110101110101…
…000010100000100110001
311211102211210002222010121
4103312232220110010301
5134323330203431101
62522451301130241
7200401646231161
oct23665650240461
94742753088117
101364434436401
11486720739a23
121a052a3b9981
139b88648399a
144a078d5c5a1
152575ab150a1
hex13daea14131

1364434436401 has 2 divisors, whose sum is σ = 1364434436402. Its totient is φ = 1364434436400.

The previous prime is 1364434436389. The next prime is 1364434436471. The reversal of 1364434436401 is 1046344344631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 972087543025 + 392346893376 = 985945^2 + 626376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1364434436401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1364434436471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 682217218200 + 682217218201.

It is an arithmetic number, because the mean of its divisors is an integer number (682217218201).

Almost surely, 21364434436401 is an apocalyptic number.

It is an amenable number.

1364434436401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1364434436401 is an equidigital number, since it uses as much as digits as its factorization.

1364434436401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 995328, while the sum is 43.

The spelling of 1364434436401 in words is "one trillion, three hundred sixty-four billion, four hundred thirty-four million, four hundred thirty-six thousand, four hundred one".