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135713683728 = 24327134636591
BaseRepresentation
bin111111001100100101…
…0100111100100010000
3110222022010020110012200
41332121022213210100
54210420200334403
6142202423123200
712543053164260
oct1763112474420
9428263213180
10135713683728
11526129222a7
12223762a3500
13ca4a853c8c
1467d62677a0
1537e4791ca3
hex1f992a7910

135713683728 has 60 divisors (see below), whose sum is σ = 434068372608. Its totient is φ = 38775337920.

The previous prime is 135713683711. The next prime is 135713683747. The reversal of 135713683728 is 827386317531.

It is a happy number.

135713683728 is a `hidden beast` number, since 1 + 3 + 571 + 3 + 68 + 3 + 7 + 2 + 8 = 666.

135713683728 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1357136837282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67317288 + ... + 67319303.

Almost surely, 2135713683728 is an apocalyptic number.

135713683728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135713683728 is an abundant number, since it is smaller than the sum of its proper divisors (298354688880).

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

135713683728 is a wasteful number, since it uses less digits than its factorization.

135713683728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134636612 (or 134636603 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 135713683728 in words is "one hundred thirty-five billion, seven hundred thirteen million, six hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 134636591 269273182 403909773 538546364 807819546 942456137 1077092728 1211729319 1615639092 1884912274 2154185456 2423458638 2827368411 3231278184 3769824548 4846917276 5654736822 6462556368 7539649096 8482105233 9693834552 11309473644 15079298192 16964210466 19387669104 22618947288 33928420932 45237894576 67856841864 135713683728