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189144098649 = 341122321912
BaseRepresentation
bin1011000000100111011…
…1011110011101011001
3200002012202222202110000
42300021313132131121
511044331342124044
6222520330243213
716444111211562
oct2601167363531
9602182882400
10189144098649
1173240a04900
12307a7b86509
1314ab42085cc
149224401169
154dc039ad69
hex2c09dde759

189144098649 has 135 divisors (see below), whose sum is σ = 326368759717. Its totient is φ = 109074675600.

The previous prime is 189144098639. The next prime is 189144098651. The reversal of 189144098649 is 946890441981.

The square root of 189144098649 is 434907.

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

189144098649 is a `hidden beast` number, since 18 + 91 + 440 + 98 + 6 + 4 + 9 = 666.

It is not a de Polignac number, because 189144098649 - 29 = 189144098137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (189144098639) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 990283144 + ... + 990283334.

Almost surely, 2189144098649 is an apocalyptic number.

189144098649 is the 434907-th square number.

189144098649 is the 217454-th centered octagonal number.

It is an amenable number.

189144098649 is a deficient number, since it is larger than the sum of its proper divisors (137224661068).

189144098649 is an equidigital number, since it uses as much as digits as its factorization.

189144098649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 189144098649 in words is "one hundred eighty-nine billion, one hundred forty-four million, ninety-eight thousand, six hundred forty-nine".

Divisors: 1 3 9 11 23 27 33 69 81 99 121 191 207 253 297 363 529 573 621 759 891 1089 1587 1719 1863 2101 2277 2783 3267 4393 4761 5157 5819 6303 6831 8349 9801 13179 14283 15471 17457 18909 20493 23111 25047 36481 39537 42849 48323 52371 56727 64009 69333 75141 101039 109443 118611 144969 157113 170181 192027 207999 225423 303117 328329 355833 401291 434907 471339 531553 576081 623997 839063 909351 984987 1111429 1203873 1304721 1594659 1728243 1871991 2517189 2728053 2954961 3334287 3611619 3914163 4414201 4783977 5184729 7551567 8184159 9229693 10002861 10834857 12225719 13242603 14351931 19298449 22654701 27689079 30008583 32504571 36677157 39727809 43055793 57895347 67964103 83067237 90025749 101526623 110031471 119183427 173686041 212282939 249201711 304579869 330094413 357550281 521058123 636848817 747605133 913739607 990283239 1563174369 1910546451 2335112329 2741218821 5731639353 7005336987 8223656463 17194918059 21016010961 63048032883 189144098649