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504142005253524 = 2231147444718273173
BaseRepresentation
bin111001010100000111011010…
…1001000111011010110010100
32110010000111122011012122210220
41302220032311020323112110
51012034330311321103044
64544115350121114340
7211122025601622351
oct16250166510732624
92403014564178726
10504142005253524
111366a94730131a0
12486621216289b0
131883c505617a51
148c6c86344d628
153d43d55679019
hex1ca83b523b594

504142005253524 has 96 divisors (see below), whose sum is σ = 1310868969209856. Its totient is φ = 149486241790080.

The previous prime is 504142005253517. The next prime is 504142005253541. The reversal of 504142005253524 is 425352500241405.

It is a super-2 number, since 2×5041420052535242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18452602 + ... + 36725774.

It is an arithmetic number, because the mean of its divisors is an integer number (13654885095936).

Almost surely, 2504142005253524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504142005253524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655434484604928).

504142005253524 is an abundant number, since it is smaller than the sum of its proper divisors (806726963956332).

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

504142005253524 is a wasteful number, since it uses less digits than its factorization.

504142005253524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277685 (or 18277683 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

Adding to 504142005253524 its reverse (425352500241405), we get a palindrome (929494505494929).

The spelling of 504142005253524 in words is "five hundred four trillion, one hundred forty-two billion, five million, two hundred fifty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 4447 6204 8894 13341 17788 26682 48917 53364 97834 146751 195668 209009 293502 418018 587004 627027 836036 1254054 2299099 2508108 4598198 6897297 9196396 13794594 18273173 27589188 36546346 54819519 73092692 109639038 201004903 219278076 402009806 603014709 804019612 858839131 1206029418 1717678262 2412058836 2576517393 3435356524 5153034786 9447230441 10306069572 18894460882 28341691323 37788921764 56683382646 81260800331 113366765292 162521600662 243782400993 325043201324 487564801986 893868803641 975129603972 1787737607282 2681606410923 3575475214564 3819257615557 5363212821846 7638515231114 10726425643692 11457772846671 15277030462228 22915545693342 42011833771127 45831091386684 84023667542254 126035501313381 168047335084508 252071002626762 504142005253524