Search a number
-
+
135793789729 = 1315780982241
BaseRepresentation
bin111111001110111110…
…0001100101100100001
3110222111200222020222121
41332131330030230201
54211101202232404
6142214404104241
712545045111413
oct1763574145441
9428450866877
10135793789729
1152654066104
1222399095081
13ca61320690
146802b5a9b3
1537eb816e54
hex1f9df0cb21

135793789729 has 16 divisors (see below), whose sum is σ = 147354636240. Its totient is φ = 124394250240.

The previous prime is 135793789679. The next prime is 135793789751. The reversal of 135793789729 is 927987397531.

It can be written as a sum of positive squares in 8 ways, for example, as 2241549025 + 133552240704 = 47345^2 + 365448^2 .

It is not a de Polignac number, because 135793789729 - 29 = 135793789217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135793789759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610049 + ... + 1692289.

It is an arithmetic number, because the mean of its divisors is an integer number (9209664765).

Almost surely, 2135793789729 is an apocalyptic number.

It is an amenable number.

135793789729 is a deficient number, since it is larger than the sum of its proper divisors (11560846511).

135793789729 is a wasteful number, since it uses less digits than its factorization.

135793789729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83220.

The product of its digits is 180033840, while the sum is 70.

The spelling of 135793789729 in words is "one hundred thirty-five billion, seven hundred ninety-three million, seven hundred eighty-nine thousand, seven hundred twenty-nine".

Divisors: 1 13 157 809 2041 10517 82241 127013 1069133 1651169 12911837 66532969 167853881 864928597 10445676133 135793789729