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514545383545416 = 23346119367446829
BaseRepresentation
bin111010011111110011110111…
…0110011101001101001001000
32111110212001120110212021220000
41310333213232303221221020
51014420302421141423131
65022202515211003000
7213244451163223326
oct16477475663515110
92443761513767800
10514545383545416
11139a4a520928283
1249862413a39460
1319115562c76692
14910c1b529ad16
153e7478d880ce6
hex1d3f9eece9a48

514545383545416 has 160 divisors (see below), whose sum is σ = 1472419605300600. Its totient is φ = 167829291048960.

The previous prime is 514545383545397. The next prime is 514545383545433. The reversal of 514545383545416 is 614545383545415.

514545383545416 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 4 + 5 + 3 + 83 + 5 + 4 + 541 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96312044376900 + 418233339168516 = 9813870^2 + 20450754^2 .

It is a super-2 number, since 2×5145453835454162 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26094511 + ... + 41352318.

Almost surely, 2514545383545416 is an apocalyptic number.

It is an amenable number.

514545383545416 is an abundant number, since it is smaller than the sum of its proper divisors (957874221755184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514545383545416 is a wasteful number, since it uses less digits than its factorization.

514545383545416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67447101 (or 67447088 counting only the distinct ones).

The product of its digits is 345600000, while the sum is 63.

Subtracting 514545383545416 from its reverse (614545383545415), we obtain a palindrome (99999999999999).

The spelling of 514545383545416 in words is "five hundred fourteen trillion, five hundred forty-five billion, three hundred eighty-three million, five hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 193 216 244 324 366 386 488 549 579 648 732 772 1098 1158 1464 1544 1647 1737 2196 2316 3294 3474 4392 4632 4941 5211 6588 6948 9882 10422 11773 13176 13896 15633 19764 20844 23546 31266 35319 39528 41688 47092 62532 70638 94184 105957 125064 141276 211914 282552 317871 423828 635742 847656 953613 1271484 1907226 2542968 3814452 7628904 67446829 134893658 202340487 269787316 404680974 539574632 607021461 809361948 1214042922 1618723896 1821064383 2428085844 3642128766 4114256569 4856171688 5463193149 7284257532 8228513138 10926386298 12342769707 13017237997 14568515064 16457026276 21852772596 24685539414 26034475994 32914052552 37028309121 39051713991 43705545192 49371078828 52068951988 74056618242 78103427982 98742157656 104137903976 111084927363 117155141973 148113236484 156206855964 222169854726 234310283946 296226472968 312413711928 333254782089 351465425919 444339709452 468620567892 666509564178 702930851838 794051517817 888679418904 937241135784 1054396277757 1333019128356 1405861703676 1588103035634 2108792555514 2382154553451 2666038256712 2811723407352 3176206071268 4217585111028 4764309106902 6352412142536 7146463660353 8435170222056 9528618213804 14292927320706 19057236427608 21439390981059 28585854641412 42878781962118 57171709282824 64318172943177 85757563924236 128636345886354 171515127848472 257272691772708 514545383545416