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5005127701041 = 3131959671708717
BaseRepresentation
bin100100011010101100011…
…0110111101001000110001
3122201111002221210022212120
41020311120312331020301
51124001000142413131
614351153544544453
71024415505333636
oct110653066751061
918644087708776
105005127701041
11165a732116216
1268a03b182129
132a3c9b5150b0
1413436c7aa18d
158a2dc9a0496
hex48d58dbd231

5005127701041 has 64 divisors (see below), whose sum is σ = 7808157772800. Its totient is φ = 2825696814336.

The previous prime is 5005127701039. The next prime is 5005127701051. The reversal of 5005127701041 is 1401077215005.

It is not a de Polignac number, because 5005127701041 - 21 = 5005127701039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5005127700993 and 5005127701011.

It is not an unprimeable number, because it can be changed into a prime (5005127701051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074815 + ... + 3783531.

It is an arithmetic number, because the mean of its divisors is an integer number (122002465200).

Almost surely, 25005127701041 is an apocalyptic number.

It is an amenable number.

5005127701041 is a deficient number, since it is larger than the sum of its proper divisors (2803030071759).

5005127701041 is a wasteful number, since it uses less digits than its factorization.

5005127701041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708878.

The product of its (nonzero) digits is 9800, while the sum is 33.

The spelling of 5005127701041 in words is "five trillion, five billion, one hundred twenty-seven million, seven hundred one thousand, forty-one".

Divisors: 1 3 13 19 39 57 59 67 177 201 247 741 767 871 1121 1273 2301 2613 3363 3819 3953 11859 14573 16549 43719 49647 51389 75107 154167 225321 976391 1708717 2929173 5126151 22213321 32465623 66639963 97396869 100814303 114484039 302442909 343452117 422053099 1266159297 1310585939 1488292507 1915471757 2175196741 3931757817 4464877521 5746415271 6525590223 6754558301 20263674903 24901132841 28277557633 74703398523 84832672899 87809257913 128336607719 263427773739 385009823157 1668375900347 5005127701041