Search a number
-
+
133520676165 = 3252967126137
BaseRepresentation
bin111110001011001110…
…0111101010101000101
3110202122021201010101100
41330112130331111011
54141422243114130
6141201043250313
712434524010232
oct1742634752505
9422567633340
10133520676165
1151697a39258
1221a63979999
13c78b400276
146668cca789
153716ea6c60
hex1f1673d545

133520676165 has 12 divisors (see below), whose sum is σ = 231435838764. Its totient is φ = 71211027264.

The previous prime is 133520676161. The next prime is 133520676187. The reversal of 133520676165 is 561676025331.

133520676165 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 20 + 6 + 7 + 616 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54121834881 + 79398841284 = 232641^2 + 281778^2 .

It is not a de Polignac number, because 133520676165 - 22 = 133520676161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2967126137 = 133520676165 / (1 + 3 + 3 + 5 + 2 + 0 + 6 + 7 + 6 + 1 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 133520676165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133520676161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483563024 + ... + 1483563113.

It is an arithmetic number, because the mean of its divisors is an integer number (19286319897).

Almost surely, 2133520676165 is an apocalyptic number.

133520676165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133520676165 is a deficient number, since it is larger than the sum of its proper divisors (97915162599).

133520676165 is a wasteful number, since it uses less digits than its factorization.

133520676165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967126148 (or 2967126145 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 133520676165 in words is "one hundred thirty-three billion, five hundred twenty million, six hundred seventy-six thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 2967126137 8901378411 14835630685 26704135233 44506892055 133520676165