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6514168200309 = 32711219109341149
BaseRepresentation
bin101111011001011001010…
…1011100111110001110101
3212001202012120201102011100
41132302302223213301311
51323212004024402214
621504322332000313
71241430106051140
oct136626253476165
925052176642140
106514168200309
112091709141500
128925a5900099
1338338b8bb843
14187404991057
15b46ad876309
hex5ecb2ae7c75

6514168200309 has 144 divisors (see below), whose sum is σ = 12453807184000. Its totient is φ = 3202868148480.

The previous prime is 6514168200299. The next prime is 6514168200367. The reversal of 6514168200309 is 9030028614156.

It is a de Polignac number, because none of the positive numbers 2k-6514168200309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6514168210309) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158286267 + ... + 158327415.

Almost surely, 26514168200309 is an apocalyptic number.

It is an amenable number.

6514168200309 is a deficient number, since it is larger than the sum of its proper divisors (5939638983691).

6514168200309 is a wasteful number, since it uses less digits than its factorization.

6514168200309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42296 (or 42282 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6514168200309 in words is "six trillion, five hundred fourteen billion, one hundred sixty-eight million, two hundred thousand, three hundred nine".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 121 133 171 209 231 363 399 627 693 847 1089 1093 1197 1463 1881 2299 2541 3279 4389 6897 7623 7651 9837 12023 13167 16093 20691 20767 22953 36069 41149 48279 62301 68859 84161 108207 123447 132253 144837 145369 186903 228437 252483 288043 370341 396759 436107 452639 685311 757449 781831 864129 925771 1190277 1308321 1357917 1599059 2055933 2345493 2512807 2592387 2777313 3168473 4073751 4797177 4979029 5472817 7036479 7538421 8331939 8600141 9505419 14391531 14937087 16418451 17589649 22615263 25800423 28516257 34853203 44811261 44975857 49255353 52768947 60200987 77401269 94601551 104559609 134927571 158306841 180602961 283804653 313678827 314830999 404782713 494734427 541808883 662210857 851413959 854541283 944492997 1484203281 1986632571 2563623849 2833478991 3463140989 4452609843 5442078697 5959897713 5981788981 7690871547 9399954113 10389422967 16326236091 17945366943 28199862339 31168268901 38094550879 48978708273 53836100829 65799678791 84599587017 103399495243 114283652637 197399036373 310198485729 342850957911 592197109119 723796466701 930595457187 2171389400103 6514168200309