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5127127852023 = 3319311273078269
BaseRepresentation
bin100101010011100000010…
…1000100110001111110111
3200011011000100121010201000
41022213000220212033313
51133000324212231043
614523211531334343
71036265002450212
oct112470050461767
920134010533630
105127127852023
1116a7448010381
126a98088b13b3
132b2641bca448
1413a22360a779
158d57d3482d3
hex4a9c0a263f7

5127127852023 has 128 divisors (see below), whose sum is σ = 8346533888000. Its totient is φ = 3098551397760.

The previous prime is 5127127851977. The next prime is 5127127852097. The reversal of 5127127852023 is 3202587217215.

It is a happy number.

5127127852023 is a `hidden beast` number, since 5 + 1 + 27 + 12 + 78 + 520 + 23 = 666.

It is not a de Polignac number, because 5127127852023 - 26 = 5127127851959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5127127852023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5127127852123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 620037933 + ... + 620046201.

It is an arithmetic number, because the mean of its divisors is an integer number (65207296000).

Almost surely, 25127127852023 is an apocalyptic number.

5127127852023 is a deficient number, since it is larger than the sum of its proper divisors (3219406035977).

5127127852023 is a wasteful number, since it uses less digits than its factorization.

5127127852023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8762 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 5127127852023 in words is "five trillion, one hundred twenty-seven billion, one hundred twenty-seven million, eight hundred fifty-two thousand, twenty-three".

Divisors: 1 3 9 19 27 31 57 93 127 171 279 307 381 513 589 837 921 1143 1767 2413 2763 3429 3937 5301 5833 7239 8269 8289 9517 11811 15903 17499 21717 24807 28551 35433 38989 52497 65151 74421 74803 85653 106299 116967 157111 157491 180823 223263 224409 256339 256959 350901 471333 542469 673227 740791 769017 1050163 1052703 1208659 1413999 1627407 2019681 2222373 2307051 2538583 3150489 3625977 4241997 4870441 4882221 6667119 6921153 7615749 9451467 10877931 14611323 19953097 20001357 22847247 22964521 28354401 32555053 32633793 43833969 48233077 59859291 68541741 68893563 78696073 97665159 131501907 144699231 179577873 206680689 236088219 292995477 322400041 434097693 538733619 618546007 620042067 708264657 878986431 967200123 1302293079 1495225387 1855638021 2124793971 2901600369 4485676161 5566914063 6125600779 8704801107 9994401271 13457028483 16700742189 18376802337 29983203813 40371085449 55130407011 89949611439 165391221033 189893624149 269848834317 569680872447 1709042617341 5127127852023