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686522951705889 = 36412236692
BaseRepresentation
bin1001110000011000111001010…
…0101010101010010100100001
310100000202221201220011221000000
42130012032110222222110201
51204440443001114042024
610432040142354050213
7264414434510146644
oct23406162452522441
93300687656157000
10686522951705889
11189824826692301
1264bb88b7579969
132360bab4bc9a4c
14c175c61151a5b
155458086642cc9
hex2706394aaa521

686522951705889 has 63 divisors (see below), whose sum is σ = 1055075668583209. Its totient is φ = 446500127839680.

The previous prime is 686522951705881. The next prime is 686522951705893. The reversal of 686522951705889 is 988507159225686.

The square root of 686522951705889 is 26201583.

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

686522951705889 is a `hidden beast` number, since 6 + 8 + 6 + 5 + 2 + 29 + 5 + 1 + 7 + 0 + 588 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 300822418358289 + 385700533347600 = 17344233^2 + 19639260^2 .

It is not a de Polignac number, because 686522951705889 - 23 = 686522951705881 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (686522951705881) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 29005140547 + ... + 29005164215.

Almost surely, 2686522951705889 is an apocalyptic number.

686522951705889 is the 26201583-rd square number.

686522951705889 is the 13100792-nd centered octagonal number.

It is an amenable number.

686522951705889 is a deficient number, since it is larger than the sum of its proper divisors (368552716877320).

686522951705889 is an frugal number, since it uses more digits than its factorization.

686522951705889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47438 (or 23713 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 81.

686522951705889 divided by its sum of digits (81) gives a square (8475591996369 = 29112872).

The spelling of 686522951705889 in words is "six hundred eighty-six trillion, five hundred twenty-two billion, nine hundred fifty-one million, seven hundred five thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 41 81 123 243 369 729 1107 1681 3321 5043 9963 15129 23669 29889 45387 71007 136161 213021 408483 639063 970429 1225449 1917189 2911287 5751567 8733861 17254701 26201583 39787589 78604749 119362767 235814247 358088301 560221561 707442741 1074264903 1680664683 3222794709 5041994049 9668384127 15125982147 22969084001 29005152381 45377946441 68907252003 136133839323 206721756009 408401517969 620165268027 941732444041 1860495804081 2825197332123 5581487412243 8475591996369 16744462236729 25426775989107 76280327967321 228840983901963 686522951705889