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522514452111140 = 225374153324942757
BaseRepresentation
bin111011011001110010110000…
…0010011101101111100100100
32112112001220010120022000202102
41312303211200103231330210
51021441334044220024030
65051143454151031232
7215026265136334106
oct16663454023557444
92475056116260672
10522514452111140
11141542153325095
124a72a97496b518
1319572b945242b8
149305b97911576
154061c00031c45
hex1db39604edf24

522514452111140 has 96 divisors (see below), whose sum is σ = 1176204399529824. Its totient is φ = 194653708554240.

The previous prime is 522514452111131. The next prime is 522514452111163. The reversal of 522514452111140 is 41111254415225.

It can be written as a sum of positive squares in 16 ways, for example, as 111738599139904 + 410775852971236 = 10570648^2 + 20267606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 522514452111094 and 522514452111103.

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, 160863359 + ... + 164079398.

It is an arithmetic number, because the mean of its divisors is an integer number (12252129161769).

Almost surely, 2522514452111140 is an apocalyptic number.

It is an amenable number.

522514452111140 is an abundant number, since it is smaller than the sum of its proper divisors (653689947418684).

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

522514452111140 is a wasteful number, since it uses less digits than its factorization.

522514452111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324942897 (or 324942895 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 38.

The spelling of 522514452111140 in words is "five hundred twenty-two trillion, five hundred fourteen billion, four hundred fifty-two million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 41 53 74 82 106 148 164 185 205 212 265 370 410 530 740 820 1060 1517 1961 2173 3034 3922 4346 6068 7585 7844 8692 9805 10865 15170 19610 21730 30340 39220 43460 80401 160802 321604 402005 804010 1608020 324942757 649885514 1299771028 1624713785 3249427570 6498855140 12022882009 13322653037 17221966121 24045764018 26645306074 34443932242 48091528036 53290612148 60114410045 66613265185 68887864484 86109830605 120228820090 133226530370 172219661210 240457640180 266453060740 344439322420 492938162369 637212746477 706100610961 985876324738 1274425492954 1412201221922 1971752649476 2464690811845 2548850985908 2824402443844 3186063732385 3530503054805 4929381623690 6372127464770 7061006109610 9858763247380 12744254929540 14122012219220 26125722605557 52251445211114 104502890422228 130628613027785 261257226055570 522514452111140