Search a number
-
+
6888325691844 = 22381729532
BaseRepresentation
bin110010000111101000000…
…1101001011100111000100
3220101111222021001100000000
41210033100031023213010
51400324242334114334
622352241513321300
71310444063210652
oct144172015134704
926344867040000
106888325691844
112216360302793
12933006406230
133ac7492a924c
1419b57a937dd2
15be2ab62a299
hex643d034b9c4

6888325691844 has 243 divisors, whose sum is σ = 19227260055367. Its totient is φ = 2158775732736.

The previous prime is 6888325691813. The next prime is 6888325691909. The reversal of 6888325691844 is 4481965238886.

The square root of 6888325691844 is 2624562.

It is a perfect power (a square), and thus also a powerful number.

6888325691844 is a `hidden beast` number, since 6 + 8 + 8 + 8 + 3 + 2 + 569 + 18 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303559125444 + 6584766566400 = 550962^2 + 2566080^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Duffinian number.

It is an unprimeable number.

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 in 80 ways as a sum of consecutive naturals, for example, 7228043272 + ... + 7228044224.

Almost surely, 26888325691844 is an apocalyptic number.

6888325691844 is the 2624562-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6888325691844

6888325691844 is an abundant number, since it is smaller than the sum of its proper divisors (12338934363523).

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

6888325691844 is an frugal number, since it uses more digits than its factorization.

6888325691844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 975 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

It can be divided in two parts, 688832 and 5691844, that added together give a square (6380676 = 25262).

The spelling of 6888325691844 in words is "six trillion, eight hundred eighty-eight billion, three hundred twenty-five million, six hundred ninety-one thousand, eight hundred forty-four".