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504512102130344 = 237111957175492041
BaseRepresentation
bin111001010110110011110000…
…0101000011110001010101000
32110011022212220211202222102222
41302231213200220132022220
51012111411241121132334
64545001354325413212
7211160540131311260
oct16255474050361250
92404285824688388
10504512102130344
1113683142105a550
12487019aa26a208
1318868396980059
148c82731dc47a0
153d4d7b6bd2d2e
hex1cad9e0a1e2a8

504512102130344 has 128 divisors (see below), whose sum is σ = 1243625703091200. Its totient is φ = 185891599296000.

The previous prime is 504512102130329. The next prime is 504512102130373. The reversal of 504512102130344 is 443031201215405.

It is a super-2 number, since 2×5045121021303442 (a number of 30 digits) contains 22 as substring.

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, 31063037 + ... + 44429004.

It is an arithmetic number, because the mean of its divisors is an integer number (9715825805400).

Almost surely, 2504512102130344 is an apocalyptic number.

It is an amenable number.

504512102130344 is an abundant number, since it is smaller than the sum of its proper divisors (739113600960856).

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

504512102130344 is a wasteful number, since it uses less digits than its factorization.

504512102130344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75492655 (or 75492651 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 504512102130344 its reverse (443031201215405), we get a palindrome (947543303345749).

The spelling of 504512102130344 in words is "five hundred four trillion, five hundred twelve billion, one hundred two million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 571 616 836 1064 1142 1463 1672 2284 2926 3997 4568 5852 6281 7994 10849 11704 12562 15988 21698 25124 31976 43396 43967 50248 75943 86792 87934 119339 151886 175868 238678 303772 351736 477356 607544 835373 954712 1670746 3341492 6682984 75492041 150984082 301968164 528444287 603936328 830412451 1056888574 1434348779 1660824902 2113777148 2868697558 3321649804 4227554296 5737395116 5812887157 6643299608 10040441453 11474790232 11625774314 15777836569 20080882906 23251548628 31555673138 40161765812 43105955411 46503097256 63111346276 80323531624 86211910822 110444855983 126222692552 172423821644 220889711966 301741687877 344847643288 441779423932 474165509521 603483375754 819013152809 883558847864 948331019042 1206966751508 1638026305618 1896662038084 2413933503016 3276052611236 3319158566647 3793324076168 5733092069663 6552105222472 6638317133294 9009144680899 11466184139326 13276634266588 18018289361798 22932368278652 26553268533176 36036578723596 45864736557304 63064012766293 72073157447192 126128025532586 252256051065172 504512102130344