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52144617372660 = 223254573947160603
BaseRepresentation
bin10111101101100110111010…
…11001010011101111110100
320211121222101001002211101100
423312303131121103233310
523313314134021411120
6302522523450330100
713661216141335311
oct1366633531235764
9224558331084340
1052144617372660
111568445411047a
125a21b86a29930
1323132a7339bb7
14cc3b54a25d08
15606603dd4490
hex2f6cdd653bf4

52144617372660 has 144 divisors (see below), whose sum is σ = 158559264392256. Its totient is φ = 13871202448896.

The previous prime is 52144617372619. The next prime is 52144617372691. The reversal of 52144617372660 is 6627371644125.

52144617372660 is a `hidden beast` number, since 5 + 2 + 1 + 446 + 1 + 73 + 72 + 6 + 60 = 666.

It is a super-2 number, since 2×521446173726602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52144617372597 and 52144617372606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324599919 + ... + 324760521.

It is an arithmetic number, because the mean of its divisors is an integer number (1101106002724).

Almost surely, 252144617372660 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 52144617372660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79279632196128).

52144617372660 is an abundant number, since it is smaller than the sum of its proper divisors (106414647019596).

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

52144617372660 is a wasteful number, since it uses less digits than its factorization.

52144617372660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165022 (or 165017 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 52144617372660 in words is "fifty-two trillion, one hundred forty-four billion, six hundred seventeen million, three hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 914 1371 1828 2285 2742 3947 4113 4570 5484 6855 7894 8226 9140 11841 13710 15788 16452 19735 20565 23682 27420 35523 39470 41130 47364 59205 71046 78940 82260 118410 142092 160603 177615 236820 321206 355230 481809 642412 710460 803015 963618 1445427 1606030 1803779 1927236 2409045 2890854 3212060 3607558 4818090 5411337 5781708 7215116 7227135 9018895 9636180 10822674 14454270 16234011 18037790 21645348 27056685 28908540 32468022 36075580 54113370 64936044 73395571 81170055 108226740 146791142 162340110 220186713 293582284 324680220 366977855 440373426 633900041 660560139 733955710 880746852 1100933565 1267800082 1321120278 1467911420 1901700123 2201867130 2535600164 2642240556 3169500205 3302800695 3803400246 4403734260 5705100369 6339000410 6605601390 7606800492 9508500615 11410200738 12678000820 13211202780 19017001230 22820401476 28525501845 38034002460 57051003690 114102007380 289692318737 579384637474 869076956211 1158769274948 1448461593685 1738153912422 2607230868633 2896923187370 3476307824844 4345384781055 5214461737266 5793846374740 8690769562110 10428923474532 13036154343165 17381539124220 26072308686330 52144617372660