Search a number
-
+
135307634526 = 23233912216777
BaseRepresentation
bin111111000000011110…
…1101010011101011110
3110221020211012000102100
41332000331222131132
54204102223301101
6142054240105530
712530022626331
oct1760075523536
9427224160370
10135307634526
11524246a5549
12222823052a6
13c9b46a518c
14679836a618
1537bdcd5e86
hex1f80f6a75e

135307634526 has 24 divisors (see below), whose sum is σ = 293253128064. Its totient is φ = 45089223840.

The previous prime is 135307634521. The next prime is 135307634533. The reversal of 135307634526 is 625436703531.

It is a happy number.

135307634526 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 7 + 634 + 5 + 2 + 6 = 666.

It is a super-2 number, since 2×1353076345262 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135307634521) 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, 1047351 + ... + 1169426.

It is an arithmetic number, because the mean of its divisors is an integer number (12218880336).

Almost surely, 2135307634526 is an apocalyptic number.

135307634526 is an abundant number, since it is smaller than the sum of its proper divisors (157945493538).

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

135307634526 is a wasteful number, since it uses less digits than its factorization.

135307634526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220176 (or 2220173 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 135307634526 in words is "one hundred thirty-five billion, three hundred seven million, six hundred thirty-four thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 18 3391 6782 10173 20346 30519 61038 2216777 4433554 6650331 13300662 19950993 39901986 7517090807 15034181614 22551272421 45102544842 67653817263 135307634526