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14577223268169 = 3217243217412
BaseRepresentation
bin1101010000100000011000…
…1101101111011101001001
31220121120100202100011000100
43110020012031233131021
53402313123124040134
651000403421000013
73033112116233442
oct324100615573511
956546322304010
1014577223268169
114710190564471
1217751b66b3009
1381981ab65433
143857817422c9
151a42c135e999
hexd420636f749

14577223268169 has 81 divisors (see below), whose sum is σ = 22912865550549. Its totient is φ = 8928652481280.

The previous prime is 14577223268143. The next prime is 14577223268173. The reversal of 14577223268169 is 96186232277541.

It is a happy number.

The square root of 14577223268169 is 3818013.

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

14577223268169 is a `hidden beast` number, since 1 + 4 + 577 + 2 + 23 + 26 + 8 + 16 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2827492695225 + 11749730572944 = 1681515^2 + 3427788^2 .

It is not a de Polignac number, because 14577223268169 - 215 = 14577223235401 is a prime.

It is a super-2 number, since 2×145772232681692 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14577223267169) 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, 8372901639 + ... + 8372903379.

Almost surely, 214577223268169 is an apocalyptic number.

14577223268169 is the 3818013-rd square number.

14577223268169 is the 1909007-th centered octagonal number.

It is an amenable number.

14577223268169 is a deficient number, since it is larger than the sum of its proper divisors (8335642282380).

14577223268169 is an frugal number, since it uses more digits than its factorization.

14577223268169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 1804 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 14577223268169 in words is "fourteen trillion, five hundred seventy-seven billion, two hundred twenty-three million, two hundred sixty-eight thousand, one hundred sixty-nine".

Divisors: 1 3 9 17 43 51 129 153 289 387 731 867 1741 1849 2193 2601 5223 5547 6579 12427 15669 16641 29597 31433 37281 74863 88791 94299 111843 224589 266373 282897 503149 534361 673767 1272671 1509447 1603083 3031081 3219109 3818013 4528341 4809249 9093243 9657327 11454039 21635407 27279729 28971981 51528377 54724853 64906221 130336483 154585131 164174559 194718663 391009449 463755393 492523677 875982409 930322501 1173028347 2215720211 2627947227 2790967503 5604468769 6647160633 7883841681 8372902509 16813406307 19941481899 37667243587 50440218921 95275969073 113001730761 285827907219 339005192283 857483721657 1619691474241 4859074422723 14577223268169