Search a number
-
+
208150115888 = 2411131716332831
BaseRepresentation
bin1100000111011010110…
…1101011011000110000
3201220021100011110200102
43001312231223120300
511402242412202023
6235342311211532
721016103535551
oct3016655533060
9656240143612
10208150115888
118030434a970
1234411076ba8
13168229a1b60
14a1086a4328
155633c23628
hex3076b6b630

208150115888 has 160 divisors (see below), whose sum is σ = 504759693312. Its totient is φ = 81691545600.

The previous prime is 208150115863. The next prime is 208150115909. The reversal of 208150115888 is 888511051802.

It is a happy number.

208150115888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6323633 + ... + 6356463.

Almost surely, 2208150115888 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 208150115888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252379846656).

208150115888 is an abundant number, since it is smaller than the sum of its proper divisors (296609577424).

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

208150115888 is a wasteful number, since it uses less digits than its factorization.

208150115888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33043 (or 33037 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 47.

The spelling of 208150115888 in words is "two hundred eight billion, one hundred fifty million, one hundred fifteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 163 176 187 208 221 272 286 326 374 442 572 652 748 884 1144 1304 1496 1768 1793 2119 2288 2431 2608 2771 2992 3536 3586 4238 4862 5542 7172 8476 9724 11084 14344 16952 19448 22168 23309 28688 30481 32831 33904 36023 38896 44336 46618 60962 65662 72046 93236 121924 131324 144092 186472 243848 262648 288184 361141 372944 396253 426803 487696 525296 558127 576368 722282 792506 853606 1116254 1444564 1585012 1707212 2232508 2889128 3170024 3414424 4465016 4694833 5351453 5778256 6139397 6340048 6828848 7255651 8930032 9389666 10702906 12278794 14511302 18779332 21405812 24557588 29022604 37558664 42811624 49115176 58045208 58865983 69568889 75117328 79812161 85623248 90974701 98230352 116090416 117731966 139137778 159624322 181949402 235463932 278275556 319248644 363898804 470927864 556551112 638497288 727797608 765257779 941855728 1000721711 1113102224 1182671113 1276994576 1455595216 1530515558 2001443422 2365342226 3061031116 4002886844 4730684452 6122062232 8005773688 9461368904 12244124464 13009382243 16011547376 18922737808 26018764486 52037528972 104075057944 208150115888