Search a number
-
+
3863233491121 = 2329728812
BaseRepresentation
bin111000001101111010101…
…010001111000010110001
3111200022200101101012010101
4320031322222033002301
51001243400233203441
612114424525032401
7546052345602454
oct70157252170261
914608611335111
103863233491121
11125a42a656244
125248790b5701
132203bc1002c4
14d4da533749b
156a7590a0231
hex3837aa8f0b1

3863233491121 has 27 divisors (see below), whose sum is σ = 4085203333953. Its totient is φ = 3653020124160.

The previous prime is 3863233491109. The next prime is 3863233491151. The reversal of 3863233491121 is 1211943323683.

The square root of 3863233491121 is 1965511.

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

3863233491121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 597753191025 + 3265480300096 = 773145^2 + 1807064^2 .

It is not a de Polignac number, because 3863233491121 - 233 = 3854643556529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3863233491151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4385054601 + ... + 4385055481.

Almost surely, 23863233491121 is an apocalyptic number.

3863233491121 is the 1965511-st square number.

3863233491121 is the 982756-th centered octagonal number.

It is an amenable number.

3863233491121 is a deficient number, since it is larger than the sum of its proper divisors (221969842832).

3863233491121 is an frugal number, since it uses more digits than its factorization.

3863233491121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1001 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The spelling of 3863233491121 in words is "three trillion, eight hundred sixty-three billion, two hundred thirty-three million, four hundred ninety-one thousand, one hundred twenty-one".

Divisors: 1 23 97 529 881 2231 9409 20263 51313 85457 216407 466049 776161 1965511 4977361 8289329 17851703 45206753 75287617 190654567 410589169 1731615191 4385055041 7302898849 39827149393 167966673527 3863233491121