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8349717849066 = 23211437113812739
BaseRepresentation
bin111100110000001000111…
…1101110110001111101010
31002120020002012012211220200
41321200101331312033222
52043300210232132231
625431450223133030
71521150535455066
oct171402175661752
932506065184820
108349717849066
11272a10605a3a0
12b2a293744176
134874b4ba4069
1420c1b2866aa6
15e72de333be6
hex79811f763ea

8349717849066 has 96 divisors (see below), whose sum is σ = 20479099829760. Its totient is φ = 2436566983200.

The previous prime is 8349717849061. The next prime is 8349717849091. The reversal of 8349717849066 is 6609487179438.

8349717849066 is a `hidden beast` number, since 8 + 3 + 4 + 9 + 7 + 1 + 78 + 490 + 66 = 666.

It is a super-2 number, since 2×83497178490662 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8349717848985 and 8349717849003.

It is not an unprimeable number, because it can be changed into a prime (8349717849061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6301876 + ... + 7510863.

It is an arithmetic number, because the mean of its divisors is an integer number (213323956560).

Almost surely, 28349717849066 is an apocalyptic number.

8349717849066 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8349717849066 is an abundant number, since it is smaller than the sum of its proper divisors (12129381980694).

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

8349717849066 is a wasteful number, since it uses less digits than its factorization.

8349717849066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13812872 (or 13812869 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 8349717849066 in words is "eight trillion, three hundred forty-nine billion, seven hundred seventeen million, eight hundred forty-nine thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 71 86 99 129 142 198 213 258 387 426 473 639 774 781 946 1278 1419 1562 2343 2838 3053 4257 4686 6106 7029 8514 9159 14058 18318 27477 33583 54954 67166 100749 201498 302247 604494 13812739 27625478 41438217 82876434 124314651 151940129 248629302 303880258 455820387 593947777 911640774 980704469 1187895554 1367461161 1781843331 1961408938 2734922322 2942113407 3563686662 5345529993 5884226814 6533425547 8826340221 10691059986 10787749159 13066851094 17652680442 19600276641 21575498318 32363247477 39200553282 42170292167 58800829923 64726494954 84340584334 97089742431 117601659846 126510876501 194179484862 253021753002 379532629503 463873213837 759065259006 927746427674 1391619641511 2783239283022 4174858924533 8349717849066