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42186270150 = 235524380747
BaseRepresentation
bin100111010010011111…
…110110010111000110
311000220000220120100000
4213102133312113012
51142344141121100
631214034102130
73022262244153
oct472237662706
9130800816300
1042186270150
1116989060182
12821411a946
133c93cb773b
142082ab322a
15116d8e0900
hex9d27f65c6

42186270150 has 144 divisors (see below), whose sum is σ = 120273177024. Its totient is φ = 10987915680.

The previous prime is 42186270121. The next prime is 42186270169. The reversal of 42186270150 is 5107268124.

42186270150 is a `hidden beast` number, since 4 + 2 + 18 + 627 + 0 + 15 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 482077 + ... + 562823.

It is an arithmetic number, because the mean of its divisors is an integer number (835230396).

Almost surely, 242186270150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42186270150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60136588512).

42186270150 is an abundant number, since it is smaller than the sum of its proper divisors (78086906874).

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

42186270150 is a wasteful number, since it uses less digits than its factorization.

42186270150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80817 (or 80800 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 42186270150 in words is "forty-two billion, one hundred eighty-six million, two hundred seventy thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 75 81 86 90 129 135 150 162 215 225 243 258 270 387 405 430 450 486 645 675 774 810 1075 1161 1215 1290 1350 1935 2025 2150 2322 2430 3225 3483 3870 4050 5805 6075 6450 6966 9675 10449 11610 12150 17415 19350 20898 29025 34830 52245 58050 80747 87075 104490 161494 174150 242241 261225 403735 484482 522450 726723 807470 1211205 1453446 2018675 2180169 2422410 3472121 3633615 4037350 4360338 6056025 6540507 6944242 7267230 10416363 10900845 12112050 13081014 17360605 18168075 19621521 20832726 21801690 31249089 32702535 34721210 36336150 39243042 52081815 54504225 62498178 65405070 86803025 93747267 98107605 104163630 109008450 156245445 163512675 173606050 187494534 196215210 260409075 281241801 312490890 327025350 468736335 490538025 520818150 562483602 781227225 843725403 937472670 981076050 1406209005 1562454450 1687450806 2343681675 2812418010 4218627015 4687363350 7031045025 8437254030 14062090050 21093135075 42186270150