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521140442663640 = 2335193180112494029
BaseRepresentation
bin111011001111110010111011…
…0111101101000101011011000
32112100012112120111010002200010
41312133211312331220223120
51021301331111310214030
65044212340404041520
7214525103662620432
oct16637456675505330
92470175514102603
10521140442663640
11141062469864658
124a5486139932a0
13194a3443433897
14929949105b652
15403b0d3a0b6b0
hex1d9f976f68ad8

521140442663640 has 128 divisors (see below), whose sum is σ = 1572394665470400. Its totient is φ = 138173954457600.

The previous prime is 521140442663597. The next prime is 521140442663683. The reversal of 521140442663640 is 46366244041125.

It is an interprime number because it is at equal distance from previous prime (521140442663597) and next prime (521140442663683).

It is a self number, because there is not a number n which added to its sum of digits gives 521140442663640.

It is a congruent number.

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, 35464146 + ... + 47958174.

Almost surely, 2521140442663640 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 521140442663640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786197332735200).

521140442663640 is an abundant number, since it is smaller than the sum of its proper divisors (1051254222806760).

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

521140442663640 is a wasteful number, since it uses less digits than its factorization.

521140442663640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496037 (or 12496033 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 521140442663640 in words is "five hundred twenty-one trillion, one hundred forty billion, four hundred forty-two million, six hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1801 1930 2316 2895 3602 3860 4632 5403 5790 7204 7720 9005 10806 11580 14408 18010 21612 23160 27015 36020 43224 54030 72040 108060 216120 347593 695186 1042779 1390372 1737965 2085558 2780744 3475930 4171116 5213895 6951860 8342232 10427790 12494029 13903720 20855580 24988058 37482087 41711160 49976116 62470145 74964174 99952232 124940290 149928348 187410435 249880580 299856696 374820870 499761160 749641740 1499283480 2411347597 4822695194 7234042791 9645390388 12056737985 14468085582 19290780776 22501746229 24113475970 28936171164 36170213955 45003492458 48226951940 57872342328 67505238687 72340427910 90006984916 96453903880 112508731145 135010477374 144680855820 180013969832 225017462290 270020954748 289361711640 337526193435 450034924580 540041909496 675052386870 900069849160 1350104773740 2700209547480 4342837022197 8685674044394 13028511066591 17371348088788 21714185110985 26057022133182 34742696177576 43428370221970 52114044266364 65142555332955 86856740443940 104228088532728 130285110665910 173713480887880 260570221331820 521140442663640