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52001011234000 = 2453613471228351
BaseRepresentation
bin10111101001011011011011…
…10011010111010011010000
320211010020200212211010101001
423310231231303113103100
523303441032333442000
6302332533524351344
713644643351316233
oct1364555563272320
9224106625733331
1052001011234000
11156295611a5a54
1259ba189545554
13230289c62895a
14cbac104cb41a
156029eb7dc46a
hex2f4b6dcd74d0

52001011234000 has 160 divisors (see below), whose sum is σ = 128168134428672. Its totient is φ = 20400436800000.

The previous prime is 52001011233973. The next prime is 52001011234009. The reversal of 52001011234000 is 43211010025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52001011234009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41719825 + ... + 42948175.

Almost surely, 252001011234000 is an apocalyptic number.

52001011234000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52001011234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64084067214336).

52001011234000 is an abundant number, since it is smaller than the sum of its proper divisors (76167123194672).

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

52001011234000 is a wasteful number, since it uses less digits than its factorization.

52001011234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228782 (or 1228766 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 52001011234000 its reverse (43211010025), we get a palindrome (52044222244025).

The spelling of 52001011234000 in words is "fifty-two trillion, one billion, eleven million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 347 400 488 500 610 694 976 1000 1220 1388 1525 1735 2000 2440 2776 3050 3470 4880 5552 6100 6940 7625 8675 12200 13880 15250 17350 21167 24400 27760 30500 34700 42334 43375 61000 69400 84668 86750 105835 122000 138800 169336 173500 211670 338672 347000 423340 529175 694000 846680 1058350 1228351 1693360 2116700 2456702 2645875 4233400 4913404 5291750 6141755 8466800 9826808 10583500 12283510 19653616 21167000 24567020 30708775 42334000 49134040 61417550 74929411 98268080 122835100 149858822 153543875 245670200 299717644 307087750 374647055 426237797 491340400 599435288 614175500 749294110 852475594 1198870576 1228351000 1498588220 1704951188 1873235275 2131188985 2456702000 2997176440 3409902376 3746470550 4262377970 5994352880 6819804752 7492941100 8524755940 9366176375 10655944925 14985882200 17049511880 18732352750 21311889850 26000505617 29971764400 34099023760 37464705500 42623779700 52001011234 53279724625 74929411000 85247559400 104002022468 106559449250 130002528085 149858822000 170495118800 208004044936 213118898500 260005056170 416008089872 426237797000 520010112340 650012640425 852475594000 1040020224680 1300025280850 2080040449360 2600050561700 3250063202125 5200101123400 6500126404250 10400202246800 13000252808500 26000505617000 52001011234000