Search a number
-
+
135044066529 = 3215004896281
BaseRepresentation
bin111110111000101000…
…0001110110011100001
3110220120110020101002200
41331301100032303201
54203032240112104
6142012143003413
712520342424451
oct1756120166341
9426513211080
10135044066529
11522a9944a59
1222209b99569
13c971bc1b98
14677135bd61
1537a5ac1b39
hex1f7140ece1

135044066529 has 6 divisors (see below), whose sum is σ = 195063651666. Its totient is φ = 90029377680.

The previous prime is 135044066471. The next prime is 135044066567. The reversal of 135044066529 is 925660440531.

135044066529 is a `hidden beast` number, since 13 + 50 + 4 + 4 + 0 + 66 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134054838225 + 989228304 = 366135^2 + 31452^2 .

It is not a de Polignac number, because 135044066529 - 213 = 135044058337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135044066929) 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 5 ways as a sum of consecutive naturals, for example, 7502448132 + ... + 7502448149.

It is an arithmetic number, because the mean of its divisors is an integer number (32510608611).

Almost surely, 2135044066529 is an apocalyptic number.

It is an amenable number.

135044066529 is a deficient number, since it is larger than the sum of its proper divisors (60019585137).

135044066529 is a wasteful number, since it uses less digits than its factorization.

135044066529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15004896287 (or 15004896284 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 135044066529 in words is "one hundred thirty-five billion, forty-four million, sixty-six thousand, five hundred twenty-nine".

Divisors: 1 3 9 15004896281 45014688843 135044066529