Search a number
-
+
8489571933969 = 347466072
BaseRepresentation
bin111101110001010000111…
…1010110101111100010001
31010001121001212100110210000
41323202201322311330101
52103043120403341334
630020015553400213
71534231335540000
oct173424172657421
933047055313700
108489571933969
112783453041345
12b51404569069
13497742467559
14214c7c950c37
15eac77331299
hex7b8a1eb5f11

8489571933969 has 75 divisors (see below), whose sum is σ = 14796971257497. Its totient is φ = 4850449713144.

The previous prime is 8489571933907. The next prime is 8489571933979. The reversal of 8489571933969 is 9693391759848.

The square root of 8489571933969 is 2913687.

It is a perfect power (a square), and thus also a powerful number.

8489571933969 is a `hidden beast` number, since 8 + 4 + 8 + 9 + 571 + 9 + 3 + 39 + 6 + 9 = 666.

It is not a de Polignac number, because 8489571933969 - 235 = 8455212195601 is a prime.

It is a super-3 number, since 3×84895719339693 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (8489571933979) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1284932664 + ... + 1284939270.

Almost surely, 28489571933969 is an apocalyptic number.

8489571933969 is the 2913687-th square number.

8489571933969 is the 1456844-th centered octagonal number.

It is an amenable number.

8489571933969 is a deficient number, since it is larger than the sum of its proper divisors (6307399323528).

8489571933969 is an frugal number, since it uses more digits than its factorization.

8489571933969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13254 (or 6617 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 81.

Multiplying 8489571933969 by its sum of digits (81), we get a square (687655326651489 = 262231832).

8489571933969 divided by its sum of digits (81) gives a square (104809530049 = 3237432).

The spelling of 8489571933969 in words is "eight trillion, four hundred eighty-nine billion, five hundred seventy-one million, nine hundred thirty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 2401 3087 3969 6607 7203 9261 19821 21609 27783 46249 59463 64827 138747 178389 194481 323743 416241 535167 971229 1248723 2266201 2913687 3746169 6798603 8741061 15863407 20395809 26223183 43652449 47590221 61187427 130957347 142770663 183562281 305567143 392872041 428311989 916701429 1178616123 1284935967 2138970001 2750104287 3535848369 6416910003 8250312861 14972790007 19250730009 24750938583 44918370021 57752190027 104809530049 134755110063 173256570081 314428590147 404265330189 943285770441 1212795990567 2829857311323 8489571933969