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2117477104113 = 37793377335167
BaseRepresentation
bin11110110100000011011…
…110000111100111110001
321111102120121202001221010
4132310003132013213301
5234143043114312423
64300431111021133
7305661025261620
oct36640336074761
97442517661833
102117477104113
11747020693988
122a246a96a7a9
131248a5b63a27
14746b4b056b7
153a131733693
hex1ed037879f1

2117477104113 has 64 divisors (see below), whose sum is σ = 3282277007360. Its totient is φ = 1189270397952.

The previous prime is 2117477104103. The next prime is 2117477104157. The reversal of 2117477104113 is 3114017747112.

It is not a de Polignac number, because 2117477104113 - 28 = 2117477103857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2117477104103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409805256 + ... + 409810422.

It is an arithmetic number, because the mean of its divisors is an integer number (51285578240).

Almost surely, 22117477104113 is an apocalyptic number.

It is an amenable number.

2117477104113 is a deficient number, since it is larger than the sum of its proper divisors (1164799903247).

2117477104113 is a wasteful number, since it uses less digits than its factorization.

2117477104113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326.

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 2117477104113 in words is "two trillion, one hundred seventeen billion, four hundred seventy-seven million, one hundred four thousand, one hundred thirteen".

Divisors: 1 3 7 21 79 237 337 553 733 1011 1659 2199 2359 5131 5167 7077 15393 15501 26623 36169 57907 79869 108507 173721 186361 247021 405349 408193 559083 741063 1216047 1224579 1729147 1741279 2857351 3787411 5187441 5223837 8572053 11362233 12188953 19514659 26511877 36566859 58543977 79535631 136602613 137561041 299205469 409807839 412683123 897616407 962927287 1276357507 2094438283 2888781861 3829072521 6283314849 8934502549 26803507647 100832243053 302496729159 705825701371 2117477104113