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2481068514393 = 3371718110614021
BaseRepresentation
bin100100000110101011001…
…101010001110001011001
322210012001221010110011000
4210012223031101301121
5311122212014430033
65135442004455213
7344152122260010
oct44065315216131
98705057113130
102481068514393
11877240549a07
12340a209aa509
1314cc6b4b2c51
1488127691a77
1544811aaba13
hex241ab351c59

2481068514393 has 128 divisors (see below), whose sum is σ = 4477756308480. Its totient is φ = 1325403648000.

The previous prime is 2481068514389. The next prime is 2481068514403. The reversal of 2481068514393 is 3934158601842.

It is a happy number.

2481068514393 is a `hidden beast` number, since 2 + 481 + 0 + 68 + 5 + 14 + 3 + 93 = 666.

It is not a de Polignac number, because 2481068514393 - 22 = 2481068514389 is a prime.

It is a super-2 number, since 2×24810685143932 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2481068513393) 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 127 ways as a sum of consecutive naturals, for example, 617025723 + ... + 617029743.

It is an arithmetic number, because the mean of its divisors is an integer number (34982471160).

Almost surely, 22481068514393 is an apocalyptic number.

It is an amenable number.

2481068514393 is a deficient number, since it is larger than the sum of its proper divisors (1996687794087).

2481068514393 is a wasteful number, since it uses less digits than its factorization.

2481068514393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2481068514393 in words is "two trillion, four hundred eighty-one billion, sixty-eight million, five hundred fourteen thousand, three hundred ninety-three".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 181 189 357 459 543 1061 1071 1267 1629 3077 3183 3213 3801 4021 4887 7427 9231 9549 11403 12063 18037 21539 22281 27693 28147 28647 34209 36189 54111 64617 66843 68357 83079 84441 108567 126259 162333 192041 193851 200529 205071 253323 378777 478499 486999 576123 581553 615213 727801 759969 1136331 1344287 1435497 1728369 1845639 2183403 3264697 3408993 4032861 4266281 4306491 5094607 5185107 6550209 9794091 12098583 12372617 12798843 12919473 15283821 19650627 22852879 29382273 29863967 36295749 37117851 38396529 45851463 68558637 72526777 86608319 88146819 89591901 111353553 115189587 137554389 205675911 217580331 259824957 268775703 334060659 507687439 617027733 652740993 772196861 779474871 806327109 1523062317 1958222979 2316590583 2338424613 4569186951 5405378027 6949771749 13127346637 13707560853 16216134081 20849315247 39382039911 48648402243 91891426459 118146119733 145945206729 275674279377 354438359199 827022838131 2481068514393