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505431044212542 = 23717672116809641
BaseRepresentation
bin111001011101011111101010…
…1110110010100011100111110
32110021120201212111102112112020
41302322333111312110130332
51012221440234304300132
64550543452151421010
7211314121310162250
oct16272772566243476
92407521774375466
10505431044212542
11137056113997028
124882bb0a084766
1318903c348a8606
148cb4dc8d89cd0
153d6764c15852c
hex1cbafd5d9473e

505431044212542 has 32 divisors (see below), whose sum is σ = 1155271781577984. Its totient is φ = 144408766852800.

The previous prime is 505431044212447. The next prime is 505431044212561. The reversal of 505431044212542 is 245212440134505.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 505431044212494 and 505431044212503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70818042 + ... + 77627682.

It is an arithmetic number, because the mean of its divisors is an integer number (36102243174312).

Almost surely, 2505431044212542 is an apocalyptic number.

505431044212542 is an abundant number, since it is smaller than the sum of its proper divisors (649840737365442).

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

505431044212542 is a wasteful number, since it uses less digits than its factorization.

505431044212542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576864.

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 505431044212542 in words is "five hundred five trillion, four hundred thirty-one billion, forty-four million, two hundred twelve thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 1767211 3534422 5301633 6809641 10603266 12370477 13619282 20428923 24740954 37111431 40857846 47667487 74222862 95334974 143002461 286004922 12034072481251 24068144962502 36102217443753 72204434887506 84238507368757 168477014737514 252715522106271 505431044212542