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540079364307 = 372171573473967
BaseRepresentation
bin1111101101111110011…
…11010001100011010011
31220122001001121101002210
413312333033101203103
532322040304124212
61052035315043203
754006445565100
oct7667717214323
91818031541083
10540079364307
111990567a307a
12888075a0503
133bc1079a262
141c1d616daa7
15e0ae59553c
hex7dbf3d18d3

540079364307 has 96 divisors (see below), whose sum is σ = 895396405248. Its totient is φ = 287708488704.

The previous prime is 540079364303. The next prime is 540079364311. The reversal of 540079364307 is 703463970045.

It is an interprime number because it is at equal distance from previous prime (540079364303) and next prime (540079364311).

It is not a de Polignac number, because 540079364307 - 22 = 540079364303 is a prime.

It is a super-3 number, since 3×5400793643073 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (540079364303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136141038 + ... + 136145004.

It is an arithmetic number, because the mean of its divisors is an integer number (9327045888).

Almost surely, 2540079364307 is an apocalyptic number.

540079364307 is a deficient number, since it is larger than the sum of its proper divisors (355317040941).

540079364307 is a wasteful number, since it uses less digits than its factorization.

540079364307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 540079364307 in words is "five hundred forty billion, seventy-nine million, three hundred sixty-four thousand, three hundred seven".

Divisors: 1 3 7 17 21 49 51 119 147 157 347 357 471 833 1041 1099 2429 2499 2669 3297 3967 5899 7287 7693 8007 11901 17003 17697 18683 23079 27769 41293 51009 54479 56049 67439 83307 123879 130781 163437 194383 202317 289051 381353 392343 472073 583149 622819 867153 926143 1144059 1376549 1416219 1868457 2669471 2778429 3304511 4129647 4359733 6483001 8008413 9635843 9913533 10587923 13079199 19449003 23401333 28907529 30518131 31763769 45381007 67450901 70203999 74115461 91554393 136143021 163809331 202352703 216118193 222346383 491427993 518808227 648354579 1146665317 1512827351 1556424681 3439995951 3674009281 4538482053 10589791457 11022027843 25718064967 31769374371 77154194901 180026454769 540079364307