1208925819614629174706176

1208925819614629174706176 is the decimal representation of 2^80, a power of two in mathematics. In binary notation, 2^80 is written as a 1 followed by 80 zeros. The integer has prime factorization 2^80 and thus has 81 positive divisors; its decimal form consists of 25 digits.

Because 2^80 is a power of two, its magnitude is often used in contexts involving binary systems and data sizes. When interpreted as a count of bytes, 2^80 bytes equal one yobibyte (YiB), a binary prefix defined as 2^80 bytes. This is exactly 1,208,925,819,614,629,174,706,176 bytes, illustrating how quickly data scales in binary units.

In computer science, 2^80 is frequently cited in discussions of security and search spaces: roughly 2^80 operations approximate the difficulty of brute-force attacks, giving the concept of an 80-bit security level. Modern practice tends to target larger security levels (such as 112 or 128 bits) to account for advances in computing power; nonetheless, 2^80 remains a standard reference point for theoretical limits and data-space size.

As a pure mathematical object, 2^80 belongs to the sequence of Powers of Two and appears in areas such as combinatorics, information theory, and computer architecture, where binary scaling and addressing underpin many theoretical and practical frameworks.