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135284303088 = 24331128468919
BaseRepresentation
bin111110111111110010…
…0101010010011110000
3110221012012021122201000
41331333210222103300
54204030240144323
6142052044042000
712526320413544
oct1757744522360
9427165248630
10135284303088
115241250a270
1222276533300
13c9ac8c65ac
146795215a24
1537bbc27e43
hex1f7f92a4f0

135284303088 has 80 divisors (see below), whose sum is σ = 423617529600. Its totient is φ = 40995241920.

The previous prime is 135284303053. The next prime is 135284303123. The reversal of 135284303088 is 880303482531.

135284303088 is a `hidden beast` number, since 1 + 3 + 528 + 43 + 0 + 3 + 0 + 88 = 666.

135284303088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135284303053) and next prime (135284303123).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14229708 + ... + 14239211.

It is an arithmetic number, because the mean of its divisors is an integer number (5295219120).

Almost surely, 2135284303088 is an apocalyptic number.

135284303088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135284303088 is an abundant number, since it is smaller than the sum of its proper divisors (288333226512).

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

135284303088 is a wasteful number, since it uses less digits than its factorization.

135284303088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28468947 (or 28468935 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 135284303088 in words is "one hundred thirty-five billion, two hundred eighty-four million, three hundred three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 28468919 56937838 85406757 113875676 170813514 227751352 256220271 313158109 341627028 455502704 512440542 626316218 683254056 768660813 939474327 1024881084 1252632436 1366508112 1537321626 1878948654 2049762168 2505264872 2818422981 3074643252 3757897308 4099524336 5010529744 5636845962 6149286504 7515794616 8455268943 11273691924 12298573008 15031589232 16910537886 22547383848 33821075772 45094767696 67642151544 135284303088