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17795025042054 = 2313310322757737
BaseRepresentation
bin1000000101111001110100…
…01001010111101010000110
32100000012001220001220212120
410002330322021113222012
54313023202402321204
6101502531024230410
73514435211101131
oct402747211275206
970005056056776
1017795025042054
1157409117a2567
121bb4965a6b406
139c10a9b2c000
144573d8aa7218
1520cd51cc76d9
hex102f3a257a86

17795025042054 has 128 divisors (see below), whose sum is σ = 39101023503360. Its totient is φ = 5398253183232.

The previous prime is 17795025042037. The next prime is 17795025042077. The reversal of 17795025042054 is 45024052059771.

It is a junction number, because it is equal to n+sod(n) for n = 17795025041988 and 17795025042006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308179474 + ... + 308237210.

It is an arithmetic number, because the mean of its divisors is an integer number (305476746120).

Almost surely, 217795025042054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17795025042054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19550511751680).

17795025042054 is an abundant number, since it is smaller than the sum of its proper divisors (21305998461306).

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

17795025042054 is a wasteful number, since it uses less digits than its factorization.

17795025042054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58111 (or 58085 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 17795025042054 in words is "seventeen trillion, seven hundred ninety-five billion, twenty-five million, forty-two thousand, fifty-four".

Divisors: 1 2 3 6 13 26 39 78 103 169 206 227 309 338 454 507 618 681 1014 1339 1362 2197 2678 2951 4017 4394 5902 6591 8034 8853 13182 17407 17706 23381 34814 38363 46762 52221 57737 70143 76726 104442 115089 115474 140286 173211 226291 230178 303953 346422 452582 498719 607906 678873 750581 911859 997438 1357746 1496157 1501162 1823718 2251743 2992314 3951389 4503486 5946911 7902778 9757553 11854167 11893822 13106299 17840733 19515106 23708334 26212598 29272659 35681466 39318897 51368057 58545318 77309843 78637794 102736114 126848189 154104171 154619686 170381887 231929529 253696378 308208342 340763774 380544567 463859058 511145661 761089134 1005027959 1022291322 1349948797 2010055918 2214964531 2699897594 3015083877 4049846391 4429929062 6030167754 6644893593 8099692782 13065363467 13289787186 17549334361 26130726934 28794538903 35098668722 39196090401 52648003083 57589077806 78392180802 86383616709 105296006166 172767233418 228141346693 456282693386 684424040079 1368848080158 2965837507009 5931675014018 8897512521027 17795025042054