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135852615684 = 223213727545137
BaseRepresentation
bin111111010000101110…
…0100110100000000100
3110222122210122221000200
41332201130212200010
54211211232200214
6142224305010500
712546361115562
oct1764134464004
9428583587020
10135852615684
11526842949a5
12223b4923a30
13ca70579136
14680a8b0a32
153801a86d09
hex1fa1726804

135852615684 has 36 divisors (see below), whose sum is σ = 345911843004. Its totient is φ = 44953661952.

The previous prime is 135852615683. The next prime is 135852615719. The reversal of 135852615684 is 486516258531.

135852615684 is a `hidden beast` number, since 1 + 3 + 58 + 5 + 26 + 1 + 568 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35539790400 + 100312825284 = 188520^2 + 316722^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135852615684.

It is not an unprimeable number, because it can be changed into a prime (135852615683) 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, 13767637 + ... + 13777500.

Almost surely, 2135852615684 is an apocalyptic number.

It is an amenable number.

135852615684 is an abundant number, since it is smaller than the sum of its proper divisors (210059227320).

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

135852615684 is a wasteful number, since it uses less digits than its factorization.

135852615684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27545284 (or 27545279 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 135852615684 in words is "one hundred thirty-five billion, eight hundred fifty-two million, six hundred fifteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 27545137 55090274 82635411 110180548 165270822 247906233 330541644 495812466 991624932 3773683769 7547367538 11321051307 15094735076 22642102614 33963153921 45284205228 67926307842 135852615684