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52260255450 = 232521331728181
BaseRepresentation
bin110000101010111101…
…000011011011011010
311222220002220001012200
4300222331003123122
51324012111133300
640001422351030
73530025561534
oct605275033332
9158802801180
1052260255450
1120188608467
12a165a2b476
134c0b10a6a0
14275a9b4854
15155d015200
hexc2af436da

52260255450 has 144 divisors (see below), whose sum is σ = 151688713176. Its totient is φ = 12823027200.

The previous prime is 52260255427. The next prime is 52260255491. The reversal of 52260255450 is 5455206225.

52260255450 is a `hidden beast` number, since 5 + 2 + 2 + 602 + 5 + 5 + 45 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 33837489 + 52226417961 = 5817^2 + 228531^2 .

It is a super-2 number, since 2×522602554502 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1840360 + ... + 1868540.

Almost surely, 252260255450 is an apocalyptic number.

52260255450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52260255450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75844356588).

52260255450 is an abundant number, since it is smaller than the sum of its proper divisors (99428457726).

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

52260255450 is a wasteful number, since it uses less digits than its factorization.

52260255450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28529 (or 28521 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 52260255450 in words is "fifty-two billion, two hundred sixty million, two hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 317 325 390 450 585 634 650 951 975 1170 1585 1902 1950 2853 2925 3170 4121 4755 5706 5850 7925 8242 9510 12363 14265 15850 20605 23775 24726 28181 28530 37089 41210 47550 56362 61815 71325 74178 84543 103025 123630 140905 142650 169086 185445 206050 253629 281810 309075 366353 370890 422715 507258 618150 704525 732706 845430 927225 1099059 1268145 1409050 1831765 1854450 2113575 2198118 2536290 3297177 3663530 4227150 5495295 6340725 6594354 8933377 9158825 10990590 12681450 16485885 17866754 18317650 26800131 27476475 32971770 44666885 53600262 54952950 80400393 82429425 89333770 116133901 134000655 160800786 164858850 223334425 232267802 268001310 348401703 402001965 446668850 580669505 670003275 696803406 804003930 1045205109 1161339010 1340006550 1742008515 2010009825 2090410218 2903347525 3484017030 4020019650 5226025545 5806695050 8710042575 10452051090 17420085150 26130127725 52260255450