Search a number
-
+
36405378679421 is a prime number
BaseRepresentation
bin10000100011100010010011…
…01010100000001001111101
311202220022122102201220110002
420101301021222200021331
514232431203420220141
6205232222230124045
710445126136001463
oct1021611152401175
9152808572656402
1036405378679421
11106664861a6304
1240bb7337b0625
13174102155400b
148dc05b814833
15431ec2962e9b
hex211c49aa027d

36405378679421 has 2 divisors, whose sum is σ = 36405378679422. Its totient is φ = 36405378679420.

The previous prime is 36405378679409. The next prime is 36405378679427. The reversal of 36405378679421 is 12497687350463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18735167755396 + 17670210924025 = 4328414^2 + 4203595^2 .

It is a cyclic number.

It is not a de Polignac number, because 36405378679421 - 218 = 36405378417277 is a prime.

It is a super-2 number, since 2×364053786794212 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36405378679427) 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, 18202689339710 + 18202689339711.

It is an arithmetic number, because the mean of its divisors is an integer number (18202689339711).

It is a 1-persistent number, because it is pandigital, but 2⋅36405378679421 = 72810757358842 is not.

Almost surely, 236405378679421 is an apocalyptic number.

It is an amenable number.

36405378679421 is a deficient number, since it is larger than the sum of its proper divisors (1).

36405378679421 is an equidigital number, since it uses as much as digits as its factorization.

36405378679421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 182891520, while the sum is 65.

The spelling of 36405378679421 in words is "thirty-six trillion, four hundred five billion, three hundred seventy-eight million, six hundred seventy-nine thousand, four hundred twenty-one".