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504463500541242 = 23211149117191459109
BaseRepresentation
bin111001010110011101000111…
…1110000000111110100111010
32110011011020110201022102221100
41302230322033300013310322
51012110112222114304432
64544523155520552230
7211154166546522234
oct16254721760076472
92404136421272840
10504463500541242
111368128507a0290
12486b44a5782676
131886391c8536c8
148c802412b1254
153d4c3beebc07c
hex1cace8fc07d3a

504463500541242 has 96 divisors (see below), whose sum is σ = 1200473997840000. Its totient is φ = 151828708590720.

The previous prime is 504463500541223. The next prime is 504463500541291. The reversal of 504463500541242 is 242145005364405.

It is a happy number.

504463500541242 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 6 + 350 + 0 + 54 + 1 + 242 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345004384 + ... + 346463492.

It is an arithmetic number, because the mean of its divisors is an integer number (12504937477500).

Almost surely, 2504463500541242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504463500541242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600236998920000).

504463500541242 is an abundant number, since it is smaller than the sum of its proper divisors (696010497298758).

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

504463500541242 is a wasteful number, since it uses less digits than its factorization.

504463500541242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470996 (or 1470993 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 504463500541242 in words is "five hundred four trillion, four hundred sixty-three billion, five hundred million, five hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 149 198 298 447 894 1341 1639 2682 3278 4917 9834 11719 14751 23438 29502 35157 70314 105471 128909 210942 257818 386727 773454 1160181 1459109 1746131 2320362 2918218 3492262 4377327 5238393 8754654 10476786 13131981 15715179 16050199 19207441 26263962 31430358 32100398 38414882 48150597 57622323 96301194 115244646 144451791 172866969 217407241 288903582 345733938 434814482 652221723 1304443446 1956665169 2391479651 3913330338 4782959302 7174438953 14348877906 17099298371 21523316859 34198596742 43046633718 51297895113 102595790226 153893685339 188092282081 307787370678 376184564162 564276846243 1128553692486 1692830538729 2547795457279 3385661077458 5095590914558 7643386371837 15286772743674 22930159115511 28025750030069 45860318231022 56051500060138 84077250090207 168154500180414 252231750270621 504463500541242