Search a number
-
+
32132421902484 = 22331763347276277
BaseRepresentation
bin1110100111001011010011…
…00101111110000010010100
311012202211101201201020201000
413103211221211332002110
513202424200001334414
6152201233021103300
76524330240446641
oct723455145760224
9135684351636630
1032132421902484
11a269313523172
12372b58b0b7b30
1314c10c7562127
147d1308c26dc8
153aac8856ab09
hex1d396997e094

32132421902484 has 96 divisors (see below), whose sum is σ = 88208360069760. Its totient is φ = 10080564189696.

The previous prime is 32132421902429. The next prime is 32132421902491. The reversal of 32132421902484 is 48420912423123.

32132421902484 is a `hidden beast` number, since 3 + 2 + 132 + 421 + 90 + 2 + 4 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116166954 + ... + 116443230.

It is an arithmetic number, because the mean of its divisors is an integer number (918837084060).

Almost surely, 232132421902484 is an apocalyptic number.

32132421902484 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

32132421902484 is an abundant number, since it is smaller than the sum of its proper divisors (56075938167276).

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

32132421902484 is a wasteful number, since it uses less digits than its factorization.

32132421902484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339654 (or 339646 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 32132421902484 in words is "thirty-two trillion, one hundred thirty-two billion, four hundred twenty-one million, nine hundred two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 63347 126694 190041 253388 276277 380082 552554 570123 760164 828831 1076899 1105108 1140246 1657662 1710369 2153798 2280492 2486493 3230697 3315324 3420738 4307596 4696709 4972986 6461394 6841476 7459479 9393418 9692091 9945972 12922788 14090127 14918958 18786836 19384182 28180254 29076273 29837916 38768364 42270381 56360508 58152546 84540762 116305092 126811143 169081524 253622286 507244572 17501319119 35002638238 52503957357 70005276476 105007914714 157511872071 210015829428 297522425023 315023744142 472535616213 595044850046 630047488284 892567275069 945071232426 1190089700092 1785134550138 1890142464852 2677701825207 3570269100276 5355403650414 8033105475621 10710807300828 16066210951242 32132421902484