Search a number
-
+
108626803272 = 233313113342343
BaseRepresentation
bin110010100101010101…
…0010111101001001000
3101101101101111100121000
41211022222113221020
53234431430201042
6121522533215000
710563605410311
oct1451252275110
9341341440530
10108626803272
1142082aa9089
1219076a91460
13a321b74370
145386a8b608
152c5b79974c
hex194aa97a48

108626803272 has 128 divisors (see below), whose sum is σ = 327828614400. Its totient is φ = 33127750656.

The previous prime is 108626803223. The next prime is 108626803277. The reversal of 108626803272 is 272308626801.

108626803272 is a `hidden beast` number, since 10 + 8 + 626 + 8 + 0 + 3 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (108626803277) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 146133 + ... + 488475.

It is an arithmetic number, because the mean of its divisors is an integer number (2561161050).

Almost surely, 2108626803272 is an apocalyptic number.

108626803272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108626803272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163914307200).

108626803272 is an abundant number, since it is smaller than the sum of its proper divisors (219201811128).

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

108626803272 is a wasteful number, since it uses less digits than its factorization.

108626803272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342484 (or 342474 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 108626803272 in words is "one hundred eight billion, six hundred twenty-six million, eight hundred three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 113 117 156 216 226 234 312 339 351 452 468 678 702 904 936 1017 1356 1404 1469 2034 2712 2808 2938 3051 4068 4407 5876 6102 8136 8814 11752 12204 13221 17628 24408 26442 35256 39663 52884 79326 105768 158652 317304 342343 684686 1027029 1369372 2054058 2738744 3081087 4108116 4450459 6162174 8216232 8900918 9243261 12324348 13351377 17801836 18486522 24648696 26702754 35603672 36973044 38684759 40054131 53405508 73946088 77369518 80108262 106811016 116054277 120162393 154739036 160216524 232108554 240324786 309478072 320433048 348162831 464217108 480649572 502901867 696325662 928434216 961299144 1005803734 1044488493 1392651324 1508705601 2011607468 2088976986 2785302648 3017411202 4023214936 4177953972 4526116803 6034822404 8355907944 9052233606 12069644808 13578350409 18104467212 27156700818 36208934424 54313401636 108626803272