Search a number
-
+
12410066520 = 2332561755871
BaseRepresentation
bin10111000111011001…
…01001011001011000
31012000212201200212100
423203230221121120
5200403434112040
65411234443400
7616350552645
oct134354513130
935025650770
1012410066520
115299182725
1224a4133560
13122a0bc037
1485a282dcc
154c9771b30
hex2e3b29658

12410066520 has 96 divisors (see below), whose sum is σ = 40398808320. Its totient is φ = 3303928320.

The previous prime is 12410066519. The next prime is 12410066531. The reversal of 12410066520 is 2566001421.

12410066520 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 0 + 0 + 6 + 652 + 0 = 666.

12410066520 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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 194185 + ... + 250055.

It is an arithmetic number, because the mean of its divisors is an integer number (420820920).

Almost surely, 212410066520 is an apocalyptic number.

12410066520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12410066520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20199404160).

12410066520 is an abundant number, since it is smaller than the sum of its proper divisors (27988741800).

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

12410066520 is a wasteful number, since it uses less digits than its factorization.

12410066520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56505 (or 56498 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12410066520 its reverse (2566001421), we get a palindrome (14976067941).

The spelling of 12410066520 in words is "twelve billion, four hundred ten million, sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 617 1234 1851 2468 3085 3702 4936 5553 6170 7404 9255 11106 12340 14808 18510 22212 24680 27765 37020 44424 55530 55871 74040 111060 111742 167613 222120 223484 279355 335226 446968 502839 558710 670452 838065 1005678 1117420 1340904 1676130 2011356 2234840 2514195 3352260 4022712 5028390 6704520 10056780 20113560 34472407 68944814 103417221 137889628 172362035 206834442 275779256 310251663 344724070 413668884 517086105 620503326 689448140 827337768 1034172210 1241006652 1378896280 1551258315 2068344420 2482013304 3102516630 4136688840 6205033260 12410066520