Search a number
-
+
20385243576 = 2332437390197
BaseRepresentation
bin10010111111000011…
…100010000110111000
31221121200102200002100
4102333003202012320
5313222110243301
613210450303400
71321110466005
oct227703420670
957550380070
1020385243576
118710a36245
123b4ab87b60
131bcb450709
14db55288ac
157e49b7286
hex4bf0e21b8

20385243576 has 96 divisors (see below), whose sum is σ = 57268514160. Its totient is φ = 6546064896.

The previous prime is 20385243539. The next prime is 20385243611. The reversal of 20385243576 is 67534258302.

20385243576 is a `hidden beast` number, since 2 + 0 + 38 + 5 + 2 + 43 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180910 + ... + 271106.

Almost surely, 220385243576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20385243576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28634257080).

20385243576 is an abundant number, since it is smaller than the sum of its proper divisors (36883270584).

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

20385243576 is a wasteful number, since it uses less digits than its factorization.

20385243576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90325 (or 90318 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 20385243576 in words is "twenty billion, three hundred eighty-five million, two hundred forty-three thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 73 86 129 146 172 219 258 292 344 387 438 516 584 657 774 876 1032 1314 1548 1752 2628 3096 3139 5256 6278 9417 12556 18834 25112 28251 37668 56502 75336 90197 113004 180394 226008 270591 360788 541182 721576 811773 1082364 1623546 2164728 3247092 3878471 6494184 6584381 7756942 11635413 13168762 15513884 19753143 23270826 26337524 31027768 34906239 39506286 46541652 52675048 59259429 69812478 79012572 93083304 118518858 139624956 158025144 237037716 279249912 283128383 474075432 566256766 849385149 1132513532 1698770298 2265027064 2548155447 3397540596 5096310894 6795081192 10192621788 20385243576