Search a number
-
+
216262847307260 = 225132341882057457
BaseRepresentation
bin110001001011000010011110…
…001100010001110111111100
31001100201112012122222112211002
4301023002132030101313330
5211321222302402313020
62043541440331345432
763360321650514335
oct6113023614216774
91040645178875732
10216262847307260
11629a9616387076
1220309231bb2278
1393896643a5320
143b5926b6d328c
151a0075dac3975
hexc4b09e311dfc

216262847307260 has 96 divisors (see below), whose sum is σ = 522798983586432. Its totient is φ = 74516213882880.

The previous prime is 216262847307259. The next prime is 216262847307277. The reversal of 216262847307260 is 62703748262612.

216262847307260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2162628473072603 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216262847307196 and 216262847307205.

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, 440783549 + ... + 441273908.

It is an arithmetic number, because the mean of its divisors is an integer number (5445822745692).

Almost surely, 2216262847307260 is an apocalyptic number.

216262847307260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216262847307260 is an abundant number, since it is smaller than the sum of its proper divisors (306536136279172).

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

216262847307260 is a wasteful number, since it uses less digits than its factorization.

216262847307260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882057543 (or 882057541 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 216262847307260 in words is "two hundred sixteen trillion, two hundred sixty-two billion, eight hundred forty-seven million, three hundred seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 41 46 52 65 82 92 115 130 164 205 230 260 299 410 460 533 598 820 943 1066 1196 1495 1886 2132 2665 2990 3772 4715 5330 5980 9430 10660 12259 18860 24518 49036 61295 122590 245180 882057457 1764114914 3528229828 4410287285 8820574570 11466746941 17641149140 20287321511 22933493882 36164355737 40574643022 45866987764 57333734705 72328711474 81149286044 101436607555 114667469410 144657422948 180821778685 202873215110 229334938820 263735179643 361643557370 405746430220 470136624581 527470359286 723287114740 831780181951 940273249162 1054940718572 1318675898215 1663560363902 1880546498324 2350683122905 2637351796430 3327120727804 4158900909755 4701366245810 5274703592860 8317801819510 9402732491620 10813142365363 16635603639020 21626284730726 43252569461452 54065711826815 108131423653630 216262847307260