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36405378679441 is a prime number
BaseRepresentation
bin10000100011100010010011…
…01010100000001010010001
311202220022122102201220110211
420101301021222200022101
514232431203420220231
6205232222230124121
710445126136001522
oct1021611152401221
9152808572656424
1036405378679441
11106664861a6322
1240bb7337b0641
131741021554025
148dc05b814849
15431ec2962eb1
hex211c49aa0291

36405378679441 has 2 divisors, whose sum is σ = 36405378679442. Its totient is φ = 36405378679440.

The previous prime is 36405378679427. The next prime is 36405378679519. The reversal of 36405378679441 is 14497687350463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27268542481041 + 9136836198400 = 5221929^2 + 3022720^2 .

It is a cyclic number.

It is not a de Polignac number, because 36405378679441 - 25 = 36405378679409 is a prime.

It is not a weakly prime, because it can be changed into another prime (36405378679421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18202689339720 + 18202689339721.

It is an arithmetic number, because the mean of its divisors is an integer number (18202689339721).

Almost surely, 236405378679441 is an apocalyptic number.

It is an amenable number.

36405378679441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36405378679441 is an equidigital number, since it uses as much as digits as its factorization.

36405378679441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 365783040, while the sum is 67.

The spelling of 36405378679441 in words is "thirty-six trillion, four hundred five billion, three hundred seventy-eight million, six hundred seventy-nine thousand, four hundred forty-one".