Search a number
-
+
5705240546310 = 2354760715834211
BaseRepresentation
bin101001100000101101011…
…0101100000110000000110
3202012102020000121212012220
41103001122311200300012
51221433313034440220
620044541252553210
71126122115332264
oct123013265406006
922172200555186
105705240546310
1118aa64060a168
12781869622806
13325004172486
1415a1c6a87434
159d6168e8540
hex5305ad60c06

5705240546310 has 128 divisors (see below), whose sum is σ = 14019123216384. Its totient is φ = 1485282341760.

The previous prime is 5705240546179. The next prime is 5705240546321. The reversal of 5705240546310 is 136450425075.

It is a super-2 number, since 2×57052405463102 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354840105 + ... + 1354844315.

It is an arithmetic number, because the mean of its divisors is an integer number (109524400128).

Almost surely, 25705240546310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5705240546310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009561608192).

5705240546310 is an abundant number, since it is smaller than the sum of its proper divisors (8313882670074).

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

5705240546310 is a wasteful number, since it uses less digits than its factorization.

5705240546310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458.

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 5705240546310 in words is "five trillion, seven hundred five billion, two hundred forty million, five hundred forty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 607 705 1214 1410 1583 1821 3035 3166 3642 4211 4749 6070 7915 8422 9105 9498 12633 15830 18210 21055 23745 25266 28529 42110 47490 57058 63165 74401 85587 126330 142645 148802 171174 197917 223203 285290 372005 395834 427935 446406 593751 744010 855870 960881 989585 1116015 1187502 1921762 1979170 2232030 2556077 2882643 2968755 4804405 5112154 5765286 5937510 6666013 7668231 9608810 12780385 13332026 14413215 15336462 19998039 25560770 28826430 33330065 38341155 39996078 45161407 66660130 76682310 90322814 99990195 120135619 135484221 199980390 225807035 240271238 270968442 313302611 360406857 451614070 600678095 626605222 677421105 720813714 939907833 1201356190 1354842210 1566513055 1802034285 1879815666 3133026110 3604068570 4046269891 4699539165 8092539782 9399078330 12138809673 20231349455 24277619346 40462698910 60694048365 121388096730 190174684877 380349369754 570524054631 950873424385 1141048109262 1901746848770 2852620273155 5705240546310