Search a number
-
+
12551323112016 = 24313191377727353
BaseRepresentation
bin1011011010100101010100…
…1001111101001001010000
31122102220011021210001010120
42312221111021331021100
53121120102204041031
642405555341430240
72433542326105143
oct266512511751120
948386137701116
1012551323112016
113aa9a93758a57
1214a864486b380
1370077a7480a0
143156b714c05a
1516b74e651a96
hexb6a5527d250

12551323112016 has 160 divisors (see below), whose sum is σ = 37024534861440. Its totient is φ = 3631979077632.

The previous prime is 12551323112011. The next prime is 12551323112023. The reversal of 12551323112016 is 61021132315521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12551323112011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239405 + ... + 5487948.

It is an arithmetic number, because the mean of its divisors is an integer number (231403342884).

Almost surely, 212551323112016 is an apocalyptic number.

12551323112016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12551323112016 is an abundant number, since it is smaller than the sum of its proper divisors (24473211749424).

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

12551323112016 is a wasteful number, since it uses less digits than its factorization.

12551323112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7727533 (or 7727527 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 12551323112016 its reverse (61021132315521), we get a palindrome (73572455427537).

The spelling of 12551323112016 in words is "twelve trillion, five hundred fifty-one billion, three hundred twenty-three million, one hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 137 152 156 208 228 247 274 304 312 411 456 494 548 624 741 822 912 988 1096 1482 1644 1781 1976 2192 2603 2964 3288 3562 3952 5206 5343 5928 6576 7124 7809 10412 10686 11856 14248 15618 20824 21372 28496 31236 33839 41648 42744 62472 67678 85488 101517 124944 135356 203034 270712 406068 541424 812136 1624272 7727353 15454706 23182059 30909412 46364118 61818824 92728236 100455589 123637648 146819707 185456472 200911178 293639414 301366767 370912944 401822356 440459121 587278828 602733534 803644712 880918242 1058647361 1174557656 1205467068 1607289424 1761836484 1908656191 2117294722 2349115312 2410934136 3175942083 3523672968 3817312382 4234589444 4821868272 5725968573 6351884166 7047345936 7634624764 8469178888 11451937146 12703768332 13762415693 15269249528 16938357776 20114299859 22903874292 25407536664 27524831386 30538499056 40228599718 41287247079 45807748584 50815073328 55049662772 60342899577 80457199436 82574494158 91615497168 110099325544 120685799154 160914398872 165148988316 220198651088 241371598308 261485898167 321828797744 330297976632 482743196616 522971796334 660595953264 784457694501 965486393232 1045943592668 1568915389002 2091887185336 3137830778004 4183774370672 6275661556008 12551323112016