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36405378679409 is a prime number
BaseRepresentation
bin10000100011100010010011…
…01010100000001001110001
311202220022122102201220102122
420101301021222200021301
514232431203420220114
6205232222230124025
710445126136001445
oct1021611152401161
9152808572656378
1036405378679409
11106664861a62a3
1240bb7337b0615
131741021553ccc
148dc05b814825
15431ec2962e8e
hex211c49aa0271

36405378679409 has 2 divisors, whose sum is σ = 36405378679410. Its totient is φ = 36405378679408.

The previous prime is 36405378679403. The next prime is 36405378679421. The reversal of 36405378679409 is 90497687350463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24158178519409 + 12247200160000 = 4915097^2 + 3499600^2 .

It is a cyclic number.

It is not a de Polignac number, because 36405378679409 - 24 = 36405378679393 is a prime.

It is not a weakly prime, because it can be changed into another prime (36405378679403) 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, 18202689339704 + 18202689339705.

It is an arithmetic number, because the mean of its divisors is an integer number (18202689339705).

Almost surely, 236405378679409 is an apocalyptic number.

It is an amenable number.

36405378679409 is a deficient number, since it is larger than the sum of its proper divisors (1).

36405378679409 is an equidigital number, since it uses as much as digits as its factorization.

36405378679409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 823011840, while the sum is 71.

The spelling of 36405378679409 in words is "thirty-six trillion, four hundred five billion, three hundred seventy-eight million, six hundred seventy-nine thousand, four hundred nine".