Search a number
-
+
14216772750 = 2353175918899
BaseRepresentation
bin11010011110110001…
…01011110010001110
31100200210100212212220
431033120223302032
5213103443212000
610310414440210
71012206401025
oct151730536216
940623325786
1014216772750
116035aa7874
122909203066
1314574b968b
1498c1c38bc
155831a21a0
hex34f62bc8e

14216772750 has 128 divisors (see below), whose sum is σ = 38211264000. Its totient is φ = 3507468800.

The previous prime is 14216772749. The next prime is 14216772761. The reversal of 14216772750 is 5727761241.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 742801 + ... + 761699.

It is an arithmetic number, because the mean of its divisors is an integer number (298525500).

Almost surely, 214216772750 is an apocalyptic number.

14216772750 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 14216772750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632000).

14216772750 is an abundant number, since it is smaller than the sum of its proper divisors (23994491250).

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

14216772750 is a wasteful number, since it uses less digits than its factorization.

14216772750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18995 (or 18985 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 14216772750 in words is "fourteen billion, two hundred sixteen million, seven hundred seventy-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 59 75 85 102 118 125 150 170 177 250 255 295 354 375 425 510 590 750 850 885 1003 1275 1475 1770 2006 2125 2550 2950 3009 4250 4425 5015 6018 6375 7375 8850 10030 12750 14750 15045 18899 22125 25075 30090 37798 44250 50150 56697 75225 94495 113394 125375 150450 188990 250750 283485 321283 376125 472475 566970 642566 752250 944950 963849 1115041 1417425 1606415 1927698 2230082 2362375 2834850 3212830 3345123 4724750 4819245 5575205 6690246 7087125 8032075 9638490 11150410 14174250 16064150 16725615 18955697 24096225 27876025 33451230 37911394 40160375 48192450 55752050 56867091 80320750 83628075 94778485 113734182 120481125 139380125 167256150 189556970 240962250 278760250 284335455 418140375 473892425 568670910 836280750 947784850 1421677275 2369462125 2843354550 4738924250 7108386375 14216772750