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5006067512721 = 311677934998191
BaseRepresentation
bin100100011011001000011…
…1000000011010110010001
3122201120112110012201010120
41020312100320003112101
51124004411240401341
614351431120220453
71024451006524452
oct110662070032621
918646473181116
105006067512721
11166007466a690
1268a261a6a729
132a40bb13a692
1413441b52b129
158a345243066
hex48d90e03591

5006067512721 has 64 divisors (see below), whose sum is σ = 7486832640000. Its totient is φ = 2949661915200.

The previous prime is 5006067512627. The next prime is 5006067512729. The reversal of 5006067512721 is 1272157606005.

It is a happy number.

It is not a de Polignac number, because 5006067512721 - 221 = 5006065415569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5006067512729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611162736 + ... + 611170926.

It is an arithmetic number, because the mean of its divisors is an integer number (116981760000).

Almost surely, 25006067512721 is an apocalyptic number.

It is an amenable number.

5006067512721 is a deficient number, since it is larger than the sum of its proper divisors (2480765127279).

5006067512721 is a wasteful number, since it uses less digits than its factorization.

5006067512721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11850.

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 5006067512721 in words is "five trillion, six billion, sixty-seven million, five hundred twelve thousand, seven hundred twenty-one".

Divisors: 1 3 11 33 67 79 201 237 737 869 2211 2607 3499 5293 8191 10497 15879 24573 38489 58223 90101 115467 174669 234433 270303 276421 548797 647089 703299 829263 1646391 1941267 2578763 3040631 6036767 7117979 7736289 9121893 18110301 18520207 21353937 28660309 43354963 55560621 85980927 130064889 203722277 315263399 476904593 611166831 945790197 1430713779 1920240703 2264164411 5760722109 6792493233 21122647733 24905808521 63367943199 74717425563 151699015537 455097046611 1668689170907 5006067512721