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689133331986 = 2311237935916007
BaseRepresentation
bin10100000011100111000…
…11000010011000010010
32102212202212221110121020
422001303203002120102
542242321113110421
61244330010540310
7100534236446451
oct12016343023022
92385685843536
10689133331986
11246294889130
12b1685437696
134cca6056878
14254d6020b98
1512dd50a3dc6
hexa0738c2612

689133331986 has 128 divisors (see below), whose sum is σ = 1593321062400. Its totient is φ = 196658679360.

The previous prime is 689133331967. The next prime is 689133331987.

689133331986 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (689133331987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43043995 + ... + 43060001.

It is an arithmetic number, because the mean of its divisors is an integer number (12447820800).

Almost surely, 2689133331986 is an apocalyptic number.

689133331986 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 689133331986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796660531200).

689133331986 is an abundant number, since it is smaller than the sum of its proper divisors (904187730414).

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

689133331986 is a wasteful number, since it uses less digits than its factorization.

689133331986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16484.

The product of its digits is 15116544, while the sum is 60.

The spelling of 689133331986 in words is "six hundred eighty-nine billion, one hundred thirty-three million, three hundred thirty-one thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 79 138 158 237 253 359 474 506 718 759 869 1077 1518 1738 1817 2154 2607 3634 3949 5214 5451 7898 8257 10902 11847 16007 16514 19987 23694 24771 28361 32014 39974 48021 49542 56722 59961 85083 90827 96042 119922 170166 176077 181654 272481 311971 352154 368161 528231 544962 623942 652303 736322 935913 1056462 1104483 1264553 1304606 1871826 1956909 2208966 2529106 3793659 3913818 4049771 5746513 7175333 7587318 8099542 11493026 12149313 13910083 14350666 17239539 21525999 24298626 27820166 29084719 34479078 41730249 43051998 58169438 63211643 83460498 87254157 126423286 132169799 174508314 189634929 264339598 319931909 379269858 396509397 453974527 639863818 793018794 907949054 959795727 1361923581 1453867789 1919591454 2723847162 2907735578 4361603367 4993719797 8723206734 9987439594 10441414121 14981159391 20882828242 29962318782 31324242363 62648484726 114855555331 229711110662 344566665993 689133331986