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521343105245344 = 25298593347195401
BaseRepresentation
bin111011010001010001010011…
…0100110000010000010100000
32112100220220200101111221121201
41312202202212212002002200
51021313141134420322334
65044445414410330544
7214545540104264344
oct16642424646020240
92470826611457551
10521343105245344
111411304075848a8
124a57b953129a54
13194b95a0267a95
1492a51d89d1624
1540414e5ac3c14
hex1da28a69820a0

521343105245344 has 96 divisors (see below), whose sum is σ = 1063346263358400. Its totient is φ = 251313488025600.

The previous prime is 521343105245327. The next prime is 521343105245447. The reversal of 521343105245344 is 443542501343125.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 521343105245294 and 521343105245303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2667970044 + ... + 2668165444.

It is an arithmetic number, because the mean of its divisors is an integer number (11076523576650).

Almost surely, 2521343105245344 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 521343105245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531673131679200).

521343105245344 is an abundant number, since it is smaller than the sum of its proper divisors (542003158113056).

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

521343105245344 is a wasteful number, since it uses less digits than its factorization.

521343105245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199646 (or 199638 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 46.

Adding to 521343105245344 its reverse (443542501343125), we get a palindrome (964885606588469).

The spelling of 521343105245344 in words is "five hundred twenty-one trillion, three hundred forty-three billion, one hundred five million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 859 928 1718 3347 3436 6694 6872 13388 13744 24911 26776 27488 49822 53552 97063 99644 107104 194126 195401 199288 388252 390802 398576 776504 781604 797152 1553008 1563208 2875073 3106016 3126416 5666629 5750146 6252832 11333258 11500292 22666516 23000584 45333032 46001168 83377117 90666064 92002336 166754234 167849459 181332128 333508468 335698918 654007147 667016936 671397836 1308014294 1334033872 1342795672 2616028588 2668067744 2685591344 4867634311 5232057176 5371182688 9735268622 10464114352 18966207263 19470537244 20928228704 37932414526 38941074488 75864829052 77882148976 151729658104 155764297952 303459316208 561792139273 606918632416 1123584278546 2247168557092 4494337114184 8988674228368 16291972038917 17977348456736 32583944077834 65167888155668 130335776311336 260671552622672 521343105245344