Search a number
-
+
482768116040 = 235737229720287
BaseRepresentation
bin1110000011001110011…
…10001101100101001000
31201011002221101022100002
413001213032031211020
530402202114203130
61005440340102132
746610305164530
oct7014716154510
91634087338302
10482768116040
11176817019a91
1279692094948
13366a90b8a32
141951a8224c0
15c857e04b45
hex706738d948

482768116040 has 128 divisors (see below), whose sum is σ = 1275573104640. Its totient is φ = 160968923136.

The previous prime is 482768116031. The next prime is 482768116057. The reversal of 482768116040 is 40611867284.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23786777 + ... + 23807063.

It is an arithmetic number, because the mean of its divisors is an integer number (9965414880).

Almost surely, 2482768116040 is an apocalyptic number.

482768116040 is a gapful number since it is divisible by the number (40) 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 482768116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637786552320).

482768116040 is an abundant number, since it is smaller than the sum of its proper divisors (792804988600).

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

482768116040 is a wasteful number, since it uses less digits than its factorization.

482768116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22639 (or 22635 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 482768116040 in words is "four hundred eighty-two billion, seven hundred sixty-eight million, one hundred sixteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2297 2590 4594 5180 9188 10360 11485 16079 18376 20287 22970 32158 40574 45940 64316 80395 81148 84989 91880 101435 128632 142009 160790 162296 169978 202870 284018 321580 339956 405740 424945 568036 594923 643160 679912 710045 750619 811480 849890 1136072 1189846 1420090 1501238 1699780 2379692 2840180 2974615 3002476 3399560 3753095 4759384 5254333 5680360 5949230 6004952 7506190 10508666 11898460 15012380 21017332 23796920 26271665 30024760 42034664 46599239 52543330 93198478 105086660 186396956 210173320 232996195 326194673 372793912 465992390 652389346 931984780 1304778692 1630973365 1724171843 1863969560 2609557384 3261946730 3448343686 6523893460 6896687372 8620859215 12069202901 13047786920 13793374744 17241718430 24138405802 34483436860 48276811604 60346014505 68966873720 96553623208 120692029010 241384058020 482768116040