Search a number
-
+
135465148782 = 23271601176369
BaseRepresentation
bin111111000101001011…
…0100010000101101110
3110221122210120120100200
41332022112202011232
54204413034230112
6142122024134330
712533644523505
oct1761226420556
9427583516320
10135465148782
11524a55aa317
12223070073a6
13ca0b205392
1467b124d83c
1537cca4bcdc
hex1f8a5a216e

135465148782 has 48 divisors (see below), whose sum is σ = 298138669920. Its totient is φ = 44444736000.

The previous prime is 135465148781. The next prime is 135465148891. The reversal of 135465148782 is 287841564531.

It is a happy number.

135465148782 is a `hidden beast` number, since 1 + 3 + 5 + 46 + 514 + 8 + 7 + 82 = 666.

135465148782 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135465148781) 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 23 ways as a sum of consecutive naturals, for example, 679894 + ... + 856262.

It is an arithmetic number, because the mean of its divisors is an integer number (6211222290).

Almost surely, 2135465148782 is an apocalyptic number.

135465148782 is an abundant number, since it is smaller than the sum of its proper divisors (162673521138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135465148782 is a wasteful number, since it uses less digits than its factorization.

135465148782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177049 (or 177046 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 135465148782 in words is "one hundred thirty-five billion, four hundred sixty-five million, one hundred forty-eight thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 601 639 1202 1278 1803 3606 5409 10818 42671 85342 128013 176369 256026 352738 384039 529107 768078 1058214 1587321 3174642 12522199 25044398 37566597 75133194 105997769 112699791 211995538 225399582 317993307 635986614 953979921 1907959842 7525841599 15051683198 22577524797 45155049594 67732574391 135465148782