Search a number
-
+
26779334500441 is a prime number
BaseRepresentation
bin1100001011011000011001…
…01110000110000001011001
310111211002010212100122112001
412011230030232012001121
512002223034113003231
6132542131220121001
75432512605341215
oct605541456060131
9114732125318461
1026779334500441
11859506320a526
123006020b36161
1311c3385095743
146881ab973945
153168d2c39b61
hex185b0cb86059

26779334500441 has 2 divisors, whose sum is σ = 26779334500442. Its totient is φ = 26779334500440.

The previous prime is 26779334500397. The next prime is 26779334500511. The reversal of 26779334500441 is 14400543397762.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18911191690000 + 7868142810441 = 4348700^2 + 2805021^2 .

It is a cyclic number.

It is not a de Polignac number, because 26779334500441 - 223 = 26779326111833 is a prime.

It is not a weakly prime, because it can be changed into another prime (26779338500441) 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, 13389667250220 + 13389667250221.

It is an arithmetic number, because the mean of its divisors is an integer number (13389667250221).

Almost surely, 226779334500441 is an apocalyptic number.

It is an amenable number.

26779334500441 is a deficient number, since it is larger than the sum of its proper divisors (1).

26779334500441 is an equidigital number, since it uses as much as digits as its factorization.

26779334500441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 26779334500441 in words is "twenty-six trillion, seven hundred seventy-nine billion, three hundred thirty-four million, five hundred thousand, four hundred forty-one".