Search a number
-
+
10773609616 = 24721123372
BaseRepresentation
bin10100000100010100…
…00011110010010000
31000210211110002000101
422002022003302100
5134031021001431
64541015502144
7530660112400
oct120212036220
930724402011
1010773609616
114629470400
122108087954
131029060343
14742bbc800
15430c70961
hex282283c90

10773609616 has 135 divisors (see below), whose sum is σ = 26769397977. Its totient is φ = 4185054720.

The previous prime is 10773609601. The next prime is 10773609619. The reversal of 10773609616 is 61690637701.

The square root of 10773609616 is 103796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2905210000 + 7868399616 = 53900^2 + 88704^2 .

It is not an unprimeable number, because it can be changed into a prime (10773609619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31969000 + ... + 31969336.

Almost surely, 210773609616 is an apocalyptic number.

10773609616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10773609616 is the 103796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10773609616

10773609616 is an abundant number, since it is smaller than the sum of its proper divisors (15995788361).

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

10773609616 is an equidigital number, since it uses as much as digits as its factorization.

10773609616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 10773609616 in words is "ten billion, seven hundred seventy-three million, six hundred nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 337 392 484 539 616 674 784 847 968 1078 1232 1348 1694 1936 2156 2359 2696 3388 3707 4312 4718 5392 5929 6776 7414 8624 9436 11858 13552 14828 16513 18872 23716 25949 29656 33026 37744 40777 47432 51898 59312 66052 81554 94864 103796 113569 132104 163108 181643 207592 227138 264208 285439 326216 363286 415184 454276 570878 652432 726572 794983 908552 1141756 1249259 1453144 1589966 1817104 1998073 2283512 2498518 2906288 3179932 3996146 4567024 4997036 5564881 6359864 7992292 8744813 9994072 11129762 12719728 13741849 15984584 17489626 19988144 22259524 27483698 31969168 34979252 44519048 54967396 61213691 69958504 89038096 96192943 109934792 122427382 139917008 192385886 219869584 244854764 384771772 489709528 673350601 769543544 979419056 1346701202 1539087088 2693402404 5386804808 10773609616