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16989259970809 = 7217219218232
BaseRepresentation
bin1111011100111001111011…
…0011100011100011111001
32020011011020201221012212201
43313032132303203203321
54211323001023031214
6100044431442310201
73402301462022200
oct367163663434371
966134221835781
1016989259970809
115460117387485
121aa4770958361
13963107680399
1442a3dac08237
151e6de2806274
hexf739ece38f9

16989259970809 has 81 divisors (see below), whose sum is σ = 22169190744207. Its totient is φ = 12977150514048.

The previous prime is 16989259970807. The next prime is 16989259970821. The reversal of 16989259970809 is 90807995298961.

The square root of 16989259970809 is 4121803.

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

It can be written as a sum of positive squares in only one way, i.e., 13226932503225 + 3762327467584 = 3636885^2 + 1939672^2 .

It is not a de Polignac number, because 16989259970809 - 21 = 16989259970807 is a prime.

It is a super-2 number, since 2×169892599708092 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16989259970803) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9319395672 + ... + 9319397494.

Almost surely, 216989259970809 is an apocalyptic number.

16989259970809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

16989259970809 is the 4121803-rd square number.

16989259970809 is the 2060902-nd centered octagonal number.

It is an amenable number.

16989259970809 is a deficient number, since it is larger than the sum of its proper divisors (5179930773398).

16989259970809 is an frugal number, since it uses more digits than its factorization.

16989259970809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 82.

The spelling of 16989259970809 in words is "sixteen trillion, nine hundred eighty-nine billion, two hundred fifty-nine million, nine hundred seventy thousand, eight hundred nine".

Divisors: 1 7 17 19 49 119 133 289 323 361 833 931 1823 2023 2261 2527 5491 6137 12761 14161 15827 17689 30991 34637 38437 42959 89327 104329 216937 242459 269059 300713 526847 588829 658103 730303 1518559 1697213 3323329 3687929 4121803 4606721 5112121 10010093 11187751 23263303 25815503 28852621 32247047 56496593 63143251 70070651 78314257 162843121 190191767 395476151 442002757 490494557 548199799 960442081 1073435267 1199721769 1331342369 2768333057 3094019299 6723094567 7514046869 8398052383 9319396583 18248399539 20395270073 47061661969 52598328083 58786366681 127738796773 142766890511 346719591241 894171577411 999368233577 2427037138687 16989259970809