Search a number
-
+
2152131793 = 7243921057
BaseRepresentation
bin1000000001000110…
…1110110011010001
312112222121121210221
42000101232303101
513401421204133
6553315353041
7104221550500
oct20021566321
95488547727
102152131793
11a04905519
125008b2781
13283b41686
14165b7a837
15c8e13a2d
hex8046ecd1

2152131793 has 6 divisors (see below), whose sum is σ = 2503500306. Its totient is φ = 1844684352.

The previous prime is 2152131791. The next prime is 2152131809. The reversal of 2152131793 is 3971312512.

It can be written as a sum of positive squares in only one way, i.e., 2149991424 + 2140369 = 46368^2 + 1463^2 .

It is not a de Polignac number, because 2152131793 - 21 = 2152131791 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2152131791) 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 5 ways as a sum of consecutive naturals, for example, 21960480 + ... + 21960577.

It is an arithmetic number, because the mean of its divisors is an integer number (417250051).

Almost surely, 22152131793 is an apocalyptic number.

It is an amenable number.

2152131793 is a deficient number, since it is larger than the sum of its proper divisors (351368513).

2152131793 is an equidigital number, since it uses as much as digits as its factorization.

2152131793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43921071 (or 43921064 counting only the distinct ones).

The product of its digits is 11340, while the sum is 34.

The square root of 2152131793 is about 46391.0744971487. The cubic root of 2152131793 is about 1291.0893174523.

The spelling of 2152131793 in words is "two billion, one hundred fifty-two million, one hundred thirty-one thousand, seven hundred ninety-three".

Divisors: 1 7 49 43921057 307447399 2152131793