Search a number
-
+
119834544900 = 223527331172399
BaseRepresentation
bin110111110011010110…
…0100000101100000100
3102110022110211121202210
41233212230200230010
53430410120414100
6131015022103420
711441416553010
oct1574654405404
9373273747683
10119834544900
1146904527274
121b28441ab70
13b3b9b36945
145b2b397540
1531b56c1c50
hex1be6b20b04

119834544900 has 144 divisors (see below), whose sum is σ = 397452339200. Its totient is φ = 27307843200.

The previous prime is 119834544887. The next prime is 119834544901. The reversal of 119834544900 is 9445438911.

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 119834544900.

It is not an unprimeable number, because it can be changed into a prime (119834544901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 608901 + ... + 781299.

Almost surely, 2119834544900 is an apocalyptic number.

119834544900 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 119834544900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198726169600).

119834544900 is an abundant number, since it is smaller than the sum of its proper divisors (277617794300).

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

119834544900 is a wasteful number, since it uses less digits than its factorization.

119834544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172754 (or 172747 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 119834544900 in words is "one hundred nineteen billion, eight hundred thirty-four million, five hundred forty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 331 350 420 525 662 700 993 1050 1324 1655 1986 2100 2317 3310 3972 4634 4965 6620 6951 8275 9268 9930 11585 13902 16550 19860 23170 24825 27804 33100 34755 46340 49650 57925 69510 99300 115850 139020 172399 173775 231700 344798 347550 517197 689596 695100 861995 1034394 1206793 1723990 2068788 2413586 2585985 3447980 3620379 4309975 4827172 5171970 6033965 7240758 8619950 10343940 12067930 12929925 14481516 17239900 18101895 24135860 25859850 30169825 36203790 51719700 57064069 60339650 72407580 90509475 114128138 120679300 171192207 181018950 228256276 285320345 342384414 362037900 399448483 570640690 684768828 798896966 855961035 1141281380 1198345449 1426601725 1597793932 1711922070 1997242415 2396690898 2853203450 3423844140 3994484830 4279805175 4793381796 5706406900 5991727245 7988969660 8559610350 9986212075 11983454490 17119220700 19972424150 23966908980 29958636225 39944848300 59917272450 119834544900