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1665114094449 = 341324122692
BaseRepresentation
bin11000001110110000100…
…010001011101101110001
312220011221122221012110000
4120032300202023231301
5204240123202010244
63312535353500213
7231205036163061
oct30166042135561
95804848835400
101665114094449
11592197551393
1222a863411669
13c103404ba00
145a8404613a1
152d4a7cc9169
hex183b088bb71

1665114094449 has 135 divisors (see below), whose sum is σ = 2771046165459. Its totient is φ = 995976933120.

The previous prime is 1665114094447. The next prime is 1665114094451. The reversal of 1665114094449 is 9444904115661.

It is a happy number.

The square root of 1665114094449 is 1290393.

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

1665114094449 is a `hidden beast` number, since 1 + 6 + 6 + 51 + 140 + 9 + 4 + 449 = 666.

It is an interprime number because it is at equal distance from previous prime (1665114094447) and next prime (1665114094451).

It can be written as a sum of positive squares in 13 ways, for example, as 981793631025 + 683320463424 = 990855^2 + 826632^2 .

It is not a de Polignac number, because 1665114094449 - 21 = 1665114094447 is a prime.

It is a super-2 number, since 2×16651140944492 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1665114094395 and 1665114094404.

It is not an unprimeable number, because it can be changed into a prime (1665114094447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6190015087 + ... + 6190015355.

Almost surely, 21665114094449 is an apocalyptic number.

1665114094449 is the 1290393-rd square number.

1665114094449 is the 645197-th centered octagonal number.

It is an amenable number.

1665114094449 is a deficient number, since it is larger than the sum of its proper divisors (1105932071010).

1665114094449 is an frugal number, since it uses more digits than its factorization.

1665114094449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1665114094449 in words is "one trillion, six hundred sixty-five billion, one hundred fourteen million, ninety-four thousand, four hundred forty-nine".

Divisors: 1 3 9 13 27 39 41 81 117 123 169 269 351 369 507 533 807 1053 1107 1521 1599 1681 2421 3321 3497 4563 4797 5043 6929 7263 10491 11029 13689 14391 15129 20787 21789 21853 31473 33087 43173 45387 45461 62361 65559 72361 94419 99261 136161 136383 143377 187083 196677 217083 283257 284089 297783 409149 430131 452189 561249 590031 651249 852267 893349 940693 1227447 1290393 1356567 1770093 1863901 1953747 2556801 2822079 2966801 3682341 3871179 4069701 5591703 5861241 5878457 7670403 8466237 8900403 11613537 12209103 12229009 16775109 17635371 23011209 25398711 26701209 36627309 36687027 38568413 50325327 52906113 76196133 76419941 80103627 110061081 115705239 121638841 150975981 158718339 229259823 240310881 330183243 347115717 364916523 476155017 501389369 687779469 990549729 1041347151 1094749569 1504168107 1581304933 2063338407 3124041453 3284248707 4512504321 4743914799 6190015221 9852746121 13537512963 14231744397 20556964129 40612538889 42695233191 61670892387 128085699573 185012677161 555038031483 1665114094449