Search a number
-
+
505515320504012 = 2271326834919105229
BaseRepresentation
bin111001011110000110111010…
…1000110110110111011001100
32110021212210101212010201121202
41302330031311012312323030
51012224330334022112022
64551050310545045032
7211323163615634030
oct16274156506667314
92407783355121552
10505515320504012
11137088930738195
124884430a026778
131890bb7594b4c0
148cb9101a3a1c0
153d69930c76592
hex1cbc3751b6ecc

505515320504012 has 96 divisors (see below), whose sum is σ = 1089439825689600. Its totient is φ = 199867005695232.

The previous prime is 505515320503987. The next prime is 505515320504023. The reversal of 505515320504012 is 210405023515505.

It is a super-2 number, since 2×5055153205040122 (a number of 30 digits) contains 22 as substring.

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, 4803901814 + ... + 4804007042.

It is an arithmetic number, because the mean of its divisors is an integer number (11348331517600).

Almost surely, 2505515320504012 is an apocalyptic number.

505515320504012 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505515320504012 is an abundant number, since it is smaller than the sum of its proper divisors (583924505185588).

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

505515320504012 is a wasteful number, since it uses less digits than its factorization.

505515320504012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112855 (or 112853 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 38.

The spelling of 505515320504012 in words is "five hundred five trillion, five hundred fifteen billion, three hundred twenty million, five hundred four thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 2683 4919 5366 9838 10732 18781 19676 34433 34879 37562 63947 68866 69758 75124 105229 127894 137732 139516 210458 244153 255788 420916 447629 488306 736603 895258 976612 1367977 1473206 1790516 2735954 2946412 5471908 9575839 13197677 19151678 26395354 38303356 52790708 92383739 171569801 184767478 282329407 343139602 369534956 517621451 564658814 686279204 1035242902 1129317628 1200988607 1976305849 2070485804 2401977214 3623350157 3670282291 3952611698 4803954428 6729078863 7246700314 7340564582 7905223396 13458157726 14493400628 14681129164 25691976037 26916315452 47103552041 51383952074 94207104082 102767904148 188414208164 1388778353033 2777556706066 5555113412132 9721448471231 18054118589429 19442896942462 36108237178858 38885793884924 72216474357716 126378830126003 252757660252006 505515320504012