Search a number
-
+
5649451795280 = 2451719321523361
BaseRepresentation
bin101001000110101110110…
…0100010100001101010000
3202000002020000020200000202
41102031131210110031100
51220030034124422110
620003153342234332
71122105452636336
oct122153544241520
922002200220022
105649451795280
111888a12291857
12772a99b859a8
1331c98302c1a7
14157613617b56
159be4dc480a5
hex5235d914350

5649451795280 has 80 divisors (see below), whose sum is σ = 13979681899344. Its totient is φ = 2115832381440.

The previous prime is 5649451795261. The next prime is 5649451795301. The reversal of 5649451795280 is 825971549465.

5649451795280 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 8 ways, for example, as 1073942561344 + 4575509233936 = 1036312^2 + 2139044^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10499201 + ... + 11024160.

Almost surely, 25649451795280 is an apocalyptic number.

It is an amenable number.

5649451795280 is an abundant number, since it is smaller than the sum of its proper divisors (8330230104064).

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

5649451795280 is a wasteful number, since it uses less digits than its factorization.

5649451795280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21523584 (or 21523578 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 65.

The spelling of 5649451795280 in words is "five trillion, six hundred forty-nine billion, four hundred fifty-one million, seven hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 193 272 340 386 680 772 965 1360 1544 1930 3088 3281 3860 6562 7720 13124 15440 16405 26248 32810 52496 65620 131240 262480 21523361 43046722 86093444 107616805 172186888 215233610 344373776 365897137 430467220 731794274 860934440 1463588548 1721868880 1829485685 2927177096 3658971370 4154008673 5854354192 7317942740 8308017346 14635885480 16616034692 20770043365 29271770960 33232069384 41540086730 66464138768 70618147441 83080173460 141236294882 166160346920 282472589764 332320693840 353090737205 564945179528 706181474410 1129890359056 1412362948820 2824725897640 5649451795280