Search a number
-
+
12142165366650 = 23521118713933131
BaseRepresentation
bin1011000010110001000101…
…1101000001011101111010
31120222210001101022000011110
42300230101131001131322
53042414123313213100
641454011143141150
72362146114464064
oct260542135013572
946883041260143
1012142165366650
113961510892a60
1214412967447b6
136a1002a78307
142dd980a30734
15160ca3cbc250
hexb0b1174177a

12142165366650 has 96 divisors (see below), whose sum is σ = 32867642336256. Its totient is φ = 2941981240000.

The previous prime is 12142165366633. The next prime is 12142165366651. The reversal of 12142165366650 is 5666356124121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12142165366650.

It is not an unprimeable number, because it can be changed into a prime (12142165366651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120585 + ... + 5053715.

It is an arithmetic number, because the mean of its divisors is an integer number (342371274336).

Almost surely, 212142165366650 is an apocalyptic number.

12142165366650 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 12142165366650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16433821168128).

12142165366650 is an abundant number, since it is smaller than the sum of its proper divisors (20725476969606).

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

12142165366650 is a wasteful number, since it uses less digits than its factorization.

12142165366650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935028 (or 3935023 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 12142165366650 in words is "twelve trillion, one hundred forty-two billion, one hundred sixty-five million, three hundred sixty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 1871 3742 5613 9355 11226 18710 20581 28065 41162 46775 56130 61743 93550 102905 123486 140325 205810 280650 308715 514525 617430 1029050 1543575 3087150 3933131 7866262 11799393 19665655 23598786 39331310 43264441 58996965 86528882 98328275 117993930 129793323 196656550 216322205 259586646 294984825 432644410 589969650 648966615 1081611025 1297933230 2163222050 3244833075 6489666150 7358888101 14717776202 22076664303 36794440505 44153328606 73588881010 80947769111 110383321515 161895538222 183972202525 220766643030 242843307333 367944405050 404738845555 485686614666 551916607575 809477691110 1103833215150 1214216536665 2023694227775 2428433073330 4047388455550 6071082683325 12142165366650