Search a number
-
+
12306541463700 = 22352118344930783
BaseRepresentation
bin1011001100010101011100…
…0010000100100010010100
31121120111100000220220202220
42303011113002010202110
53103112244103314300
642101314101302340
72410055366322531
oct263052702044224
947514300826686
1012306541463700
113a151a1909650
12146910ba049b0
136b366a829173
143078d57d9d88
151651c4a20da0
hexb3157084894

12306541463700 has 144 divisors (see below), whose sum is σ = 39311919876096. Its totient is φ = 2947459299200.

The previous prime is 12306541463677. The next prime is 12306541463701. The reversal of 12306541463700 is 736414560321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12306541463701) 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 47 ways as a sum of consecutive naturals, for example, 22191492 + ... + 22739291.

It is an arithmetic number, because the mean of its divisors is an integer number (272999443584).

Almost surely, 212306541463700 is an apocalyptic number.

12306541463700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12306541463700 is an abundant number, since it is smaller than the sum of its proper divisors (27005378412396).

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

12306541463700 is a wasteful number, since it uses less digits than its factorization.

12306541463700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44930894 (or 44930887 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 12306541463700 in words is "twelve trillion, three hundred six billion, five hundred forty-one million, four hundred sixty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 83 100 110 132 150 165 166 220 249 275 300 330 332 415 498 550 660 825 830 913 996 1100 1245 1650 1660 1826 2075 2490 2739 3300 3652 4150 4565 4980 5478 6225 8300 9130 10956 12450 13695 18260 22825 24900 27390 45650 54780 68475 91300 136950 273900 44930783 89861566 134792349 179723132 224653915 269584698 449307830 494238613 539169396 673961745 898615660 988477226 1123269575 1347923490 1482715839 1976954452 2246539150 2471193065 2695846980 2965431678 3369808725 3729254989 4493078300 4942386130 5930863356 6739617450 7413579195 7458509978 9884772260 11187764967 12355965325 13479234900 14827158390 14917019956 18646274945 22375529934 24711930650 29654316780 37067895975 37292549890 41021804879 44751059868 49423861300 55938824835 74135791950 74585099780 82043609758 93231374725 111877649670 123065414637 148271583900 164087219516 186462749450 205109024395 223755299340 246130829274 279694124175 372925498900 410218048790 492261658548 559388248350 615327073185 820436097580 1025545121975 1118776496700 1230654146370 2051090243950 2461308292740 3076635365925 4102180487900 6153270731850 12306541463700