Search a number
-
+
256485503268601 = 4125727787875149
BaseRepresentation
bin111010010100010110101111…
…010011111111011011111001
31020122010202220201101022220021
4322110112233103333123321
5232104224302314043401
62305255451421530441
7105011315605166455
oct7224265723773371
91218122821338807
10256485503268601
11747a6989039432
1224924738113a21
13b01662c9a1429
144749d70bc3665
151e9bb9ac672a1
hexe945af4ff6f9

256485503268601 has 16 divisors (see below), whose sum is σ = 264715804861200. Its totient is φ = 248356258283520.

The previous prime is 256485503268569. The next prime is 256485503268637. The reversal of 256485503268601 is 106862305584652.

It can be written as a sum of positive squares in 8 ways, for example, as 55555020018576 + 200930483250025 = 7453524^2 + 14174995^2 .

It is a cyclic number.

It is not a de Polignac number, because 256485503268601 - 25 = 256485503268569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256485503268601.

It is not an unprimeable number, because it can be changed into a prime (256485503262601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41018826 + ... + 46856323.

It is an arithmetic number, because the mean of its divisors is an integer number (16544737803825).

Almost surely, 2256485503268601 is an apocalyptic number.

It is an amenable number.

256485503268601 is a deficient number, since it is larger than the sum of its proper divisors (8230301592599).

256485503268601 is a wasteful number, since it uses less digits than its factorization.

256485503268601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87875724.

The product of its (nonzero) digits is 82944000, while the sum is 61.

The spelling of 256485503268601 in words is "two hundred fifty-six trillion, four hundred eighty-five billion, five hundred three million, two hundred sixty-eight thousand, six hundred one".

Divisors: 1 41 257 277 10537 11357 71189 2918749 87875149 3602881109 22583913293 24341416273 925940445013 997998067193 6255743982161 256485503268601