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2162104234320 = 243559593257489
BaseRepresentation
bin11111011101100111011…
…101000111000101010000
321122200202202120011210110
4133131213131013011100
5240410442140444240
64333131301201320
7312130646522142
oct37354735070520
97580682504713
102162104234320
11763a41524378
122ab044400240
13128b68742254
1476909a32c92
153b39456bc80
hex1f767747150

2162104234320 has 160 divisors (see below), whose sum is σ = 6827646038400. Its totient is φ = 565830909952.

The previous prime is 2162104234259. The next prime is 2162104234337. The reversal of 2162104234320 is 234324012612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8268136 + ... + 8525624.

It is an arithmetic number, because the mean of its divisors is an integer number (42672787740).

Almost surely, 22162104234320 is an apocalyptic number.

2162104234320 is a gapful number since it is divisible by the number (20) 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 2162104234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413823019200).

2162104234320 is an abundant number, since it is smaller than the sum of its proper divisors (4665541804080).

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

2162104234320 is a wasteful number, since it uses less digits than its factorization.

2162104234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258157 (or 258151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2162104234320 its reverse (234324012612), we get a palindrome (2396428246932).

The spelling of 2162104234320 in words is "two trillion, one hundred sixty-two billion, one hundred four million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 593 708 885 944 1180 1186 1416 1770 1779 2360 2372 2832 2965 3540 3558 4720 4744 5930 7080 7116 8895 9488 11860 14160 14232 17790 23720 28464 34987 35580 47440 69974 71160 104961 139948 142320 174935 209922 257489 279896 349870 419844 514978 524805 559792 699740 772467 839688 1029956 1049610 1287445 1399480 1544934 1679376 2059912 2099220 2574890 2798960 3089868 3862335 4119824 4198440 5149780 6179736 7724670 8396880 10299560 12359472 15191851 15449340 20599120 30383702 30898680 45575553 60767404 61797360 75959255 91151106 121534808 151918510 152690977 182302212 227877765 243069616 303837020 305381954 364604424 455755530 458072931 607674040 610763908 729208848 763454885 911511060 916145862 1215348080 1221527816 1526909770 1823022120 1832291724 2290364655 2443055632 3053819540 3646044240 3664583448 4580729310 6107639080 7329166896 9008767643 9161458620 12215278160 18017535286 18322917240 27026302929 36035070572 36645834480 45043838215 54052605858 72070141144 90087676430 108105211716 135131514645 144140282288 180175352860 216210423432 270263029290 360350705720 432420846864 540526058580 720701411440 1081052117160 2162104234320