Search a number
-
+
5057250066 = 23411171391201
BaseRepresentation
bin1001011010110111…
…11000001100010010
3111001110002220220000
410231123320030102
540324124000231
62153454230430
7236215626201
oct45533701422
914043086800
105057250066
11216575a910
12b917b5416
13627984c7b
1435d925238
151e8eb46e6
hex12d6f8312

5057250066 has 160 divisors (see below), whose sum is σ = 13194498240. Its totient is φ = 1430784000.

The previous prime is 5057250061. The next prime is 5057250101. The reversal of 5057250066 is 6600527505.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5057250066.

It is not an unprimeable number, because it can be changed into a prime (5057250061) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4210266 + ... + 4211466.

It is an arithmetic number, because the mean of its divisors is an integer number (82465614).

Almost surely, 25057250066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5057250066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597249120).

5057250066 is an abundant number, since it is smaller than the sum of its proper divisors (8137248174).

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

5057250066 is a wasteful number, since it uses less digits than its factorization.

5057250066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5057250066 is about 71114.3450085846. The cubic root of 5057250066 is about 1716.4776104658.

The spelling of 5057250066 in words is "five billion, fifty-seven million, two hundred fifty thousand, sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 139 153 162 187 198 278 297 306 374 417 459 561 594 834 891 918 1122 1201 1251 1377 1529 1683 1782 2363 2402 2502 2754 3058 3366 3603 3753 4587 4726 5049 7089 7206 7506 9174 10098 10809 11259 13211 13761 14178 15147 20417 21267 21618 22518 25993 26422 27522 30294 32427 39633 40834 41283 42534 51986 61251 63801 64854 77979 79266 82566 97281 118899 122502 123849 127602 155958 166939 183753 191403 194562 224587 233937 237798 247698 333878 356697 367506 382806 449174 467874 500817 551259 673761 701811 713394 1001634 1070091 1102518 1347522 1403622 1502451 1653777 1836329 2021283 2105433 2140182 2837963 3004902 3307554 3672658 4042566 4210866 4507353 5508987 5675926 6063849 8513889 9014706 11017974 12127698 13522059 16526961 17027778 18191547 25541667 27044118 31217593 33053922 36383094 49580883 51083334 62435186 76625001 93652779 99161766 148742649 153250002 187305558 229875003 280958337 297485298 459750006 561916674 842875011 1685750022 2528625033 5057250066