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505271265524142 = 2313223195831106317
BaseRepresentation
bin111001011100010101010001…
…0010010111111100110101110
32110021000110110020122011222020
41302320222202102333212232
51012211331022433233032
64550342225343531010
7211266433661554335
oct16270524222774656
92407013406564866
10505271265524142
11136aa4381aa2617
1248804b585b9a66
13188c1b50448400
148cab38ca04d1c
153d633e9d34b2c
hex1cb8aa24bf9ae

505271265524142 has 96 divisors (see below), whose sum is σ = 1141891805749248. Its totient is φ = 148700871715968.

The previous prime is 505271265524117. The next prime is 505271265524161. The reversal of 505271265524142 is 241425562172505.

It is a congruent number.

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, 456161568 + ... + 457267884.

It is an arithmetic number, because the mean of its divisors is an integer number (11894706309888).

Almost surely, 2505271265524142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505271265524142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570945902874624).

505271265524142 is an abundant number, since it is smaller than the sum of its proper divisors (636620540225106).

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

505271265524142 is a wasteful number, since it uses less digits than its factorization.

505271265524142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125954 (or 1125941 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 51.

The spelling of 505271265524142 in words is "five hundred five trillion, two hundred seventy-one billion, two hundred sixty-five million, five hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 897 1014 1794 3887 7774 11661 19583 23322 39166 58749 117498 254579 450409 509158 763737 900818 1106317 1351227 1527474 2212634 2702454 3309527 3318951 5855317 6619054 6637902 9928581 11710634 14382121 17565951 19857162 25445291 28764242 35131902 43146363 50890582 76119121 76335873 86292726 152238242 152671746 186967573 228357363 330788783 373935146 456714726 560902719 661577566 992366349 1121805438 1984732698 4300254179 8600508358 12900762537 21665005811 25801525074 43330011622 64995017433 129990034866 281645075543 498295133653 563290151086 844935226629 996590267306 1494885400959 1689870453258 2989770801918 3661385982059 6477836737489 7322771964118 10984157946177 12955673474978 19433510212467 21968315892354 38867020424934 84211877587357 168423755174714 252635632762071 505271265524142