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689270229729 = 369723172
BaseRepresentation
bin10100000011110111011…
…01010000101011100001
32102220010102112121000000
422001323231100223201
542243111134322404
61244351341050213
7100540521166314
oct12017355205341
92386112477000
10689270229729
11246355091464
12b1703256969
134ccc8518b53
142550a29897b
1512de20e6339
hexa07bb50ae1

689270229729 has 63 divisors (see below), whose sum is σ = 1047500758857. Its totient is φ = 453341608704.

The previous prime is 689270229719. The next prime is 689270229737. The reversal of 689270229729 is 927922072986.

The square root of 689270229729 is 830223.

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

It can be written as a sum of positive squares in 4 ways, for example, as 218207634129 + 471062595600 = 467127^2 + 686340^2 .

It is not a de Polignac number, because 689270229729 - 213 = 689270221537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (689270229719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2174353879 + ... + 2174354195.

Almost surely, 2689270229729 is an apocalyptic number.

689270229729 is the 830223-rd square number.

689270229729 is the 415112-nd centered octagonal number.

It is an amenable number.

689270229729 is a deficient number, since it is larger than the sum of its proper divisors (358230529128).

689270229729 is an frugal number, since it uses more digits than its factorization.

689270229729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 689270229729 in words is "six hundred eighty-nine billion, two hundred seventy million, two hundred twenty-nine thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 97 243 291 317 729 873 951 2619 2853 7857 8559 9409 23571 25677 28227 30749 70713 77031 84681 92247 100489 231093 254043 276741 301467 762129 830223 904401 2286387 2490669 2713203 2982653 6859161 7472007 8139609 8947959 9747433 22416021 24418827 26843877 29242299 73256481 80531631 87726897 241594893 263180691 724784679 789542073 945501001 2174354037 2368626219 2836503003 7105878657 8509509009 25528527027 76585581081 229756743243 689270229729