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1689339861 = 3311175359107
BaseRepresentation
bin110010010110001…
…0100011111010101
311100201210100122000
41210230110133111
511424432333421
6435344225513
756602103046
oct14454243725
94321710560
101689339861
11797652050
123b190b299
1320bcb63b1
1412050c8cd
159d49a226
hex64b147d5

1689339861 has 128 divisors (see below), whose sum is σ = 3023308800. Its totient is φ = 920724480.

The previous prime is 1689339833. The next prime is 1689339863.

1689339861 is a `hidden beast` number, since 168 + 93 + 398 + 6 + 1 = 666.

1689339861 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1689339861 - 25 = 1689339829 is a prime.

Its product of digits (1679616) is a multiple of the sum of its prime factors (256).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1689339798 and 1689339807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689339863) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15788170 + ... + 15788276.

It is an arithmetic number, because the mean of its divisors is an integer number (23619600).

Almost surely, 21689339861 is an apocalyptic number.

1689339861 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1689339861 is a deficient number, since it is larger than the sum of its proper divisors (1333968939).

1689339861 is a wasteful number, since it uses less digits than its factorization.

1689339861 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1689339861 is about 41101.5797871566. The cubic root of 1689339861 is about 1190.9833129019.

The spelling of 1689339861 in words is "one billion, six hundred eighty-nine million, three hundred thirty-nine thousand, eight hundred sixty-one".

Divisors: 1 3 9 11 17 27 33 51 53 59 99 107 153 159 177 187 297 321 459 477 531 561 583 649 901 963 1003 1177 1431 1593 1683 1749 1819 1947 2703 2889 3009 3127 3531 5049 5247 5457 5671 5841 6313 8109 9027 9381 9911 10593 11033 15741 16371 17013 17523 18939 20009 24327 27081 28143 29733 31779 33099 34397 49113 51039 53159 56817 60027 62381 69443 84429 89199 96407 99297 103191 107321 153117 159477 170451 180081 187143 208329 267597 289221 297891 309573 321963 334589 478431 540243 561429 584749 624987 867663 928719 965889 1003767 1060477 1180531 1435293 1684287 1754247 1874961 2602989 2897667 3011301 3181431 3541593 3680479 5262741 5688013 9033903 9544293 10624779 11041437 15788223 17064039 28632879 31874337 33124311 51192117 62568143 99372933 153576351 187704429 563113287 1689339861