Search a number
256000000000 = 21759

256000000000 has 180 divisors, whose sum is σ = 639997493058. Its totient is φ = 102400000000.

The previous prime is 255999999989. The next prime is 256000000007. The reversal of 256000000000 is 652.

Adding to 256000000000 its reverse (652), we get a palindrome (256000000652).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 240837525504 + 15162474496 = 490752^2 + 123136^2 .

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is not an unprimeable number, because it can be changed into a prime (256000000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51199999998 + ... + 51200000002.

Almost surely, 2256000000000 is an apocalyptic number.

256000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319998746529).

256000000000 is an abundant number, since it is smaller than the sum of its proper divisors (383997493058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256000000000 is an frugal number, since it uses more digits than its factorization.

256000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The spelling of 256000000000 in words is "two hundred fifty-six billion", and thus it is an aban number.