Search a number
-
+
112665198450 = 23527241445229
BaseRepresentation
bin110100011101101011…
…1100111111101110010
3101202210211110002022210
41220323113213331302
53321214242322300
6123431354112550
711065643246220
oct1507327477562
9352724402283
10112665198450
1143865627162
1219a0341b756
13a816719ccc
14564b157b10
152de60a6050
hex1a3b5e7f72

112665198450 has 96 divisors (see below), whose sum is σ = 320651084160. Its totient is φ = 25645132800.

The previous prime is 112665198449. The next prime is 112665198521. The reversal of 112665198450 is 54891566211.

112665198450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112665198450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30436 + ... + 475664.

It is an arithmetic number, because the mean of its divisors is an integer number (3340115460).

Almost surely, 2112665198450 is an apocalyptic number.

112665198450 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 112665198450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160325542080).

112665198450 is an abundant number, since it is smaller than the sum of its proper divisors (207985885710).

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

112665198450 is a wasteful number, since it uses less digits than its factorization.

112665198450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445492 (or 445487 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 112665198450 in words is "one hundred twelve billion, six hundred sixty-five million, one hundred ninety-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 241 350 482 525 723 1050 1205 1446 1687 2410 3374 3615 5061 6025 7230 8435 10122 12050 16870 18075 25305 36150 42175 50610 84350 126525 253050 445229 890458 1335687 2226145 2671374 3116603 4452290 6233206 6678435 9349809 11130725 13356870 15583015 18699618 22261450 31166030 33392175 46749045 66784350 77915075 93498090 107300189 155830150 214600378 233745225 321900567 467490450 536500945 643801134 751101323 1073001890 1502202646 1609502835 2253303969 2682504725 3219005670 3755506615 4506607938 5365009450 7511013230 8047514175 11266519845 16095028350 18777533075 22533039690 37555066150 56332599225 112665198450