Search a number
-
+
676503683064 = 2332111367624851
BaseRepresentation
bin10011101100000101100…
…00101111111111111000
32101200011201000211022100
421312002300233333320
542040434420324224
61234440445423400
766606251266536
oct11660260577770
92350151024270
10676503683064
112409a3768a50
12ab13b86ab60
134ba42615221
1424a5893d156
15128e640aac9
hex9d82c2fff8

676503683064 has 96 divisors (see below), whose sum is σ = 2000226234240. Its totient is φ = 204850824000.

The previous prime is 676503683033. The next prime is 676503683077. The reversal of 676503683064 is 460386305676.

676503683064 is a `hidden beast` number, since 6 + 76 + 503 + 6 + 8 + 3 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 676503683064.

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 23 ways as a sum of consecutive naturals, for example, 770239 + ... + 1395089.

It is an arithmetic number, because the mean of its divisors is an integer number (20835689940).

Almost surely, 2676503683064 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 676503683064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000113117120).

676503683064 is an abundant number, since it is smaller than the sum of its proper divisors (1323722551176).

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

676503683064 is a wasteful number, since it uses less digits than its factorization.

676503683064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626241 (or 626234 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 676503683064 in words is "six hundred seventy-six billion, five hundred three million, six hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1367 2734 4101 5468 8202 10936 12303 15037 16404 24606 30074 32808 45111 49212 60148 90222 98424 120296 135333 180444 270666 360888 541332 624851 1082664 1249702 1874553 2499404 3749106 4998808 5623659 6873361 7498212 11247318 13746722 14996424 20620083 22494636 27493444 41240166 44989272 54986888 61860249 82480332 123720498 164960664 247440996 494881992 854171317 1708342634 2562513951 3416685268 5125027902 6833370536 7687541853 9395884487 10250055804 15375083706 18791768974 20500111608 28187653461 30750167412 37583537948 56375306922 61500334824 75167075896 84562960383 112750613844 169125920766 225501227688 338251841532 676503683064