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5117271940368 = 24337334535093
BaseRepresentation
bin100101001110111010100…
…1011010001110100010000
3200010012120110221221122000
41022131311023101310100
51132320133104042433
614514501533114000
71035465524544000
oct112356513216420
920105513857560
105117271940368
1116a324a670045
126a7918028900
132b173101c163
1413996a674000
158d1a2e4d113
hex4a7752d1d10

5117271940368 has 160 divisors (see below), whose sum is σ = 17129406624000. Its totient is φ = 1462077654912.

The previous prime is 5117271940367. The next prime is 5117271940397. The reversal of 5117271940368 is 8630491727115.

5117271940368 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 271 + 9 + 4 + 0 + 368 = 666.

It is a super-2 number, since 2×51172719403682 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5117271940367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17119371 + ... + 17415722.

It is an arithmetic number, because the mean of its divisors is an integer number (107058791400).

It is a 1-persistent number, because it is pandigital, but 2⋅5117271940368 = 10234543880736 is not.

Almost surely, 25117271940368 is an apocalyptic number.

It is an amenable number.

5117271940368 is an abundant number, since it is smaller than the sum of its proper divisors (12012134683632).

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

5117271940368 is a wasteful number, since it uses less digits than its factorization.

5117271940368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34535131 (or 34535105 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 5117271940368 in words is "five trillion, one hundred seventeen billion, two hundred seventy-one million, nine hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 1008 1029 1176 1323 1372 1512 1764 2058 2352 2646 2744 3024 3087 3528 4116 5292 5488 6174 7056 8232 9261 10584 12348 16464 18522 21168 24696 37044 49392 74088 148176 34535093 69070186 103605279 138140372 207210558 241745651 276280744 310815837 414421116 483491302 552561488 621631674 725236953 828842232 932447511 966982604 1243263348 1450473906 1657684464 1692219557 1864895022 1933965208 2175710859 2486526696 2900947812 3384439114 3729790044 3867930416 4351421718 4973053392 5076658671 5801895624 6527132577 6768878228 7459580088 8702843436 10153317342 11603791248 11845536899 13054265154 13537756456 14919160176 15229976013 17405686872 20306634684 23691073798 26108530308 27075512912 30459952026 34811373744 35536610697 40613269368 45689928039 47382147596 52217060616 60919904052 71073221394 81226538736 91379856078 94764295192 104434121232 106609832091 121839808104 142146442788 182759712156 189528590384 213219664182 243679616208 284292885576 319829496273 365519424312 426439328364 568585771152 639658992546 731038848624 852878656728 1279317985092 1705757313456 2558635970184 5117271940368