Search a number
-
+
205425521551824 = 243713115729726527
BaseRepresentation
bin101110101101010101011011…
…001111010110100111010000
3222221100111011210121201101120
4232231111123033112213100
5203411142432004124244
62004523103133402240
761161334632510420
oct5655253317264720
9887314153551346
10205425521551824
115a5005245358a2
121b058a13639380
138a8170b287622
1438a2910cbc480
1518b38c8a50819
hexbad55b3d69d0

205425521551824 has 160 divisors (see below), whose sum is σ = 615016656224256. Its totient is φ = 57873978938880.

The previous prime is 205425521551813. The next prime is 205425521551909. The reversal of 205425521551824 is 428155125524502.

It is a happy number.

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, 7952752 + ... + 21773775.

Almost surely, 2205425521551824 is an apocalyptic number.

205425521551824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205425521551824 is an abundant number, since it is smaller than the sum of its proper divisors (409591134672432).

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

205425521551824 is a wasteful number, since it uses less digits than its factorization.

205425521551824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29726833 (or 29726827 counting only the distinct ones).

The product of its (nonzero) digits is 6400000, while the sum is 51.

The spelling of 205425521551824 in words is "two hundred five trillion, four hundred twenty-five billion, five hundred twenty-one million, five hundred fifty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 157 168 262 314 336 393 471 524 628 786 917 942 1048 1099 1256 1572 1834 1884 2096 2198 2512 2751 3144 3297 3668 3768 4396 5502 6288 6594 7336 7536 8792 11004 13188 14672 17584 20567 22008 26376 41134 44016 52752 61701 82268 123402 143969 164536 246804 287938 329072 431907 493608 575876 863814 987216 1151752 1727628 2303504 3455256 6910512 29726527 59453054 89179581 118906108 178359162 208085689 237812216 356718324 416171378 475624432 624257067 713436648 832342756 1248514134 1426873296 1664685512 2497028268 3329371024 3894175037 4667064739 4994056536 7788350074 9334129478 9988113072 11682525111 14001194217 15576700148 18668258956 23365050222 27259225259 28002388434 31153400296 32669453173 37336517912 46730100444 54518450518 56004776868 62306800592 65338906346 74673035824 81777675777 93460200888 98008359519 109036901036 112009553736 130677812692 163555351554 186920401776 196016719038 218073802072 224019107472 261355625384 327110703108 392033438076 436147604144 522711250768 611385480809 654221406216 784066876152 1222770961618 1308442812432 1568133752304 1834156442427 2445541923236 3668312884854 4279698365663 4891083846472 7336625769708 8559396731326 9782167692944 12839095096989 14673251539416 17118793462652 25678190193978 29346503078832 34237586925304 51356380387956 68475173850608 102712760775912 205425521551824