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512132546760020 = 2251723937316896499
BaseRepresentation
bin111010001110010000010011…
…0100001110000110101010100
32111011022101121201202210210222
41310130200212201300311110
51014111234423432310040
65013114235524533512
7212605232634025034
oct16434404641606524
92434271551683728
10512132546760020
111391aa21441824a
1249532875851298
1318c9bb79779c94
1490674c18478c4
153e31b22047bb5
hex1d1c826870d54

512132546760020 has 96 divisors (see below), whose sum is σ = 1146572159040000. Its totient is φ = 191481388406784.

The previous prime is 512132546760007. The next prime is 512132546760053. The reversal of 512132546760020 is 20067645231215.

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, 21861731 + ... + 38758229.

It is an arithmetic number, because the mean of its divisors is an integer number (11943459990000).

Almost surely, 2512132546760020 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 512132546760020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573286079520000).

512132546760020 is an abundant number, since it is smaller than the sum of its proper divisors (634439612279980).

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

512132546760020 is a wasteful number, since it uses less digits than its factorization.

512132546760020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16897137 (or 16897135 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 512132546760020 in words is "five hundred twelve trillion, one hundred thirty-two billion, five hundred forty-six million, seven hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 239 340 373 478 746 956 1195 1492 1865 2390 3730 4063 4780 6341 7460 8126 12682 16252 20315 25364 31705 40630 63410 81260 89147 126820 178294 356588 445735 891470 1515499 1782940 3030998 6061996 7577495 15154990 16896499 30309980 33792998 67585996 84482495 168964990 287240483 337929980 574480966 1148961932 1436202415 2872404830 4038263261 5744809660 6302394127 8076526522 12604788254 16153053044 20191316305 25209576508 31511970635 40382632610 63023941270 68650475437 80765265220 107140700159 126047882540 137300950874 214281400318 274601901748 343252377185 428562800636 535703500795 686504754370 1071407001590 1373009508740 1506272196353 2142814003180 3012544392706 6025088785412 7531360981765 15062721963530 25606627338001 30125443927060 51213254676002 102426509352004 128033136690005 256066273380010 512132546760020