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27677106717 = 31317477911243
BaseRepresentation
bin11001110001101011…
…110010001000011101
32122102212100200211120
4121301223302020131
5423140314403332
620414212241153
71666602345141
oct316153621035
978385320746
1027677106717
1110813006a17
1254450101b9
1327c1065930
1414a7b3b221
15abec3432c
hex671af221d

27677106717 has 64 divisors (see below), whose sum is σ = 43522375680. Its totient is φ = 15489137664.

The previous prime is 27677106701. The next prime is 27677106719. The reversal of 27677106717 is 71760177672.

It is not a de Polignac number, because 27677106717 - 24 = 27677106701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 27677106717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27677106719) 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, 2456098 + ... + 2467340.

It is an arithmetic number, because the mean of its divisors is an integer number (680037120).

Almost surely, 227677106717 is an apocalyptic number.

It is an amenable number.

27677106717 is a deficient number, since it is larger than the sum of its proper divisors (15845268963).

27677106717 is a wasteful number, since it uses less digits than its factorization.

27677106717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402.

The product of its (nonzero) digits is 1210104, while the sum is 51.

The spelling of 27677106717 in words is "twenty-seven billion, six hundred seventy-seven million, one hundred six thousand, seven hundred seventeen".

Divisors: 1 3 13 17 39 47 51 79 141 221 237 611 663 799 1027 1343 1833 2397 3081 3713 4029 10387 11139 11243 17459 31161 33729 48269 52377 63121 144807 146159 189363 191131 438477 528421 573393 820573 888197 1585263 2461719 2484703 2664591 6869473 7454109 8983157 11546561 15099349 20608419 26949471 34639683 41745259 45298047 116781041 125235777 196291537 350343123 542688367 588874611 709669403 1628065101 2129008209 9225702239 27677106717