Search a number
-
+
1808121268801 = 29433143993093
BaseRepresentation
bin11010010011111100011…
…011010000101001000001
320101212002002011100220001
4122103330123100221001
5214111013021100201
63502350041520001
7244426634125411
oct32237433205101
96355062140801
101808121268801
11637902356091
122525141a3001
131016749378c3
1463729202641
1532077a0a301
hex1a4fc6d0a41

1808121268801 has 8 divisors (see below), whose sum is σ = 1874790083880. Its totient is φ = 1741740440832.

The previous prime is 1808121268799. The next prime is 1808121268813. The reversal of 1808121268801 is 1088621218081.

It can be written as a sum of positive squares in 4 ways, for example, as 51372489025 + 1756748779776 = 226655^2 + 1325424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1808121268801 - 21 = 1808121268799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1808121268831) 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 in 7 ways as a sum of consecutive naturals, for example, 71983990 + ... + 72009103.

It is an arithmetic number, because the mean of its divisors is an integer number (234348760485).

Almost surely, 21808121268801 is an apocalyptic number.

It is an amenable number.

1808121268801 is a deficient number, since it is larger than the sum of its proper divisors (66668815079).

1808121268801 is a wasteful number, since it uses less digits than its factorization.

1808121268801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143993555.

The product of its (nonzero) digits is 98304, while the sum is 46.

The spelling of 1808121268801 in words is "one trillion, eight hundred eight billion, one hundred twenty-one million, two hundred sixty-eight thousand, eight hundred one".

Divisors: 1 29 433 12557 143993093 4175799697 62349009269 1808121268801