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523421222124325 = 52741712713791419
BaseRepresentation
bin111011100000011001000000…
…0000000110011101100100101
32112122021120122221001102011211
41313000302000000303230211
51022101213130330434300
65053120220115231421
7215151635554304320
oct16700620000635445
92478246587042154
10523421222124325
1114186176a364aa8
124a8566582a8571
131960a542760065
149337a180a77b7
15407a5c1a984ba
hex1dc0c80033b25

523421222124325 has 96 divisors (see below), whose sum is σ = 773400179220480. Its totient is φ = 343957440960000.

The previous prime is 523421222124293. The next prime is 523421222124343.

It is a happy number.

523421222124325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523421222124325 - 25 = 523421222124293 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136158466 + ... + 139949884.

It is an arithmetic number, because the mean of its divisors is an integer number (8056251866880).

Almost surely, 2523421222124325 is an apocalyptic number.

It is an amenable number.

523421222124325 is a deficient number, since it is larger than the sum of its proper divisors (249978957096155).

523421222124325 is a wasteful number, since it uses less digits than its factorization.

523421222124325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791819 (or 3791814 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The spelling of 523421222124325 in words is "five hundred twenty-three trillion, four hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 41 71 175 205 271 287 355 497 1025 1355 1435 1775 1897 2485 2911 6775 7175 9485 11111 12425 14555 19241 20377 47425 55555 72775 77777 96205 101885 134687 277775 388885 481025 509425 673435 788881 1944425 3367175 3791419 3944405 5522167 18957095 19722025 26539933 27610835 94785475 132699665 138054175 155448179 269190749 663498325 777240895 1027474549 1088137253 1345953745 1884335243 3886204475 5137372745 5440686265 6729768725 7192321843 9421676215 11036820709 25686863725 27203431325 35961609215 42126456509 47108381075 55184103545 72950692979 77257744963 179808046075 210632282545 275920517725 294885195563 364753464895 386288724815 510654850853 1053161412725 1474425977815 1823767324475 1931443624075 2553274254265 2990978412139 7372129889075 12766371271325 14954892060695 20936848884973 74774460303475 104684244424865 523421222124325