Search a number
-
+
12500160316 = 2271759716269
BaseRepresentation
bin10111010010001000…
…10100111100111100
31012021011020221022121
423221010110330330
5201100020112231
65424213452324
7621523416040
oct135104247474
935234227277
1012500160316
115335018506
12250a3410a4
131242974887
14868216020
154d261b311
hex2e9114f3c

12500160316 has 96 divisors (see below), whose sum is σ = 27303091200. Its totient is φ = 4886031360.

The previous prime is 12500160311. The next prime is 12500160317. The reversal of 12500160316 is 61306100521.

12500160316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12500160311) 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, 1990830 + ... + 1997098.

It is an arithmetic number, because the mean of its divisors is an integer number (284407200).

Almost surely, 212500160316 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 12500160316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651545600).

12500160316 is an abundant number, since it is smaller than the sum of its proper divisors (14802930884).

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

12500160316 is a wasteful number, since it uses less digits than its factorization.

12500160316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 12500160316 its reverse (61306100521), we get a palindrome (73806260837).

The spelling of 12500160316 in words is "twelve billion, five hundred million, one hundred sixty thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 59 68 71 118 119 142 236 238 284 413 476 497 826 994 1003 1207 1652 1988 2006 2414 4012 4189 4828 6269 7021 8378 8449 12538 14042 16756 16898 25076 28084 29323 33796 43883 58646 71213 87766 106573 117292 142426 175532 213146 284852 369871 426292 445099 498491 739742 746011 890198 996982 1479484 1492022 1780396 1993964 2589097 2984044 3115693 5178194 6231386 6287807 7566683 10356388 12462772 12575614 15133366 25151228 26260841 30266732 44014649 52521682 52966781 88029298 105043364 105933562 176058596 183825887 211867124 367651774 446434297 735303548 892868594 1785737188 3125040079 6250080158 12500160316