Search a number
-
+
12287605804050 = 2352198115316203
BaseRepresentation
bin1011001011001110111001…
…1000010000110000010010
31121111200110101010202000010
42302303232120100300102
53102310004041212200
642044503112335350
72405515220011653
oct262635630206022
947450411122003
1012287605804050
113a08165159255
1214655063a4556
136b19407c8125
14306a1aa0d52a
15164967445150
hexb2cee610c12

12287605804050 has 96 divisors (see below), whose sum is σ = 32116676901120. Its totient is φ = 3100409006400.

The previous prime is 12287605804049. The next prime is 12287605804073. The reversal of 12287605804050 is 5040850678221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346752 + ... + 4969451.

It is an arithmetic number, because the mean of its divisors is an integer number (334548717720).

Almost surely, 212287605804050 is an apocalyptic number.

12287605804050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12287605804050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058338450560).

12287605804050 is an abundant number, since it is smaller than the sum of its proper divisors (19829071097070).

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

12287605804050 is a wasteful number, since it uses less digits than its factorization.

12287605804050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317048 (or 5317043 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 12287605804050 in words is "twelve trillion, two hundred eighty-seven billion, six hundred five million, eight hundred four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 811 950 1425 1622 2433 2850 4055 4866 8110 12165 15409 20275 24330 30818 40550 46227 60825 77045 92454 121650 154090 231135 385225 462270 770450 1155675 2311350 5316203 10632406 15948609 26581015 31897218 53162030 79743045 101007857 132905075 159486090 202015714 265810150 303023571 398715225 505039285 606047142 797430450 1010078570 1515117855 2525196425 3030235710 4311440633 5050392850 7575589275 8622881266 12934321899 15151178550 21557203165 25868643798 43114406330 64671609495 81917372027 107786015825 129343218990 163834744054 215572031650 245752116081 323358047475 409586860135 491504232162 646716094950 819173720270 1228760580405 2047934300675 2457521160810 4095868601350 6143802902025 12287605804050