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164316542146350 = 235211569175018951
BaseRepresentation
bin100101010111000111101101…
…001000000001011100101110
3210112210111201100021212201020
4211113013231020001130232
5133014130234242140400
61341245551035555010
746416323044141416
oct4527075510013456
9715714640255636
10164316542146350
11483a1288355580
12165197915bba66
13708bca27c5529
142c80d6a965646
1513ee3b4dc32a0
hex9571ed20172e

164316542146350 has 96 divisors (see below), whose sum is σ = 445332222984960. Its totient is φ = 39764305440000.

The previous prime is 164316542146343. The next prime is 164316542146363. The reversal of 164316542146350 is 53641245613461.

It is a junction number, because it is equal to n+sod(n) for n = 164316542146293 and 164316542146302.

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 47 ways as a sum of consecutive naturals, for example, 86570626 + ... + 88448325.

It is an arithmetic number, because the mean of its divisors is an integer number (4638877322760).

Almost surely, 2164316542146350 is an apocalyptic number.

164316542146350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164316542146350 is an abundant number, since it is smaller than the sum of its proper divisors (281015680838610).

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

164316542146350 is a wasteful number, since it uses less digits than its factorization.

164316542146350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175019546 (or 175019541 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 164316542146350 in words is "one hundred sixty-four trillion, three hundred sixteen billion, five hundred forty-two million, one hundred forty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 569 825 1138 1650 1707 2845 3414 5690 6259 8535 12518 14225 17070 18777 28450 31295 37554 42675 62590 85350 93885 156475 187770 312950 469425 938850 175018951 350037902 525056853 875094755 1050113706 1750189510 1925208461 2625284265 3850416922 4375473775 5250568530 5775625383 8750947550 9626042305 11551250766 13126421325 19252084610 26252842650 28878126915 48130211525 57756253830 96260423050 99585783119 144390634575 199171566238 288781269150 298757349357 497928915595 597514698714 995857831190 1095443614309 1493786746785 2190887228618 2489644577975 2987573493570 3286330842927 4979289155950 5477218071545 6572661685854 7468933733925 10954436143090 14937867467850 16431654214635 27386090357725 32863308429270 54772180715450 82158271073175 164316542146350