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4105818827117 = 7191631069177167
BaseRepresentation
bin111011101111110101110…
…111110110100101101101
3112112111211120111002101022
4323233311313312211231
51014232204104431432
612422104230423525
7602431006125140
oct73576567664555
915474746432338
104105818827117
1113432a47646a7
1256389a501ba5
1323a23bcac237
14102a190cc057
1571c05e91b12
hex3bbf5df696d

4105818827117 has 32 divisors (see below), whose sum is σ = 4974310502400. Its totient is φ = 3310475686848.

The previous prime is 4105818827083. The next prime is 4105818827119. The reversal of 4105818827117 is 7117288185014.

It is a cyclic number.

It is not a de Polignac number, because 4105818827117 - 230 = 4104745085293 is a prime.

It is a super-3 number, since 3×41058188271173 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105818827119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23086268 + ... + 23263434.

It is an arithmetic number, because the mean of its divisors is an integer number (155447203200).

Almost surely, 24105818827117 is an apocalyptic number.

It is an amenable number.

4105818827117 is a deficient number, since it is larger than the sum of its proper divisors (868491675283).

4105818827117 is a wasteful number, since it uses less digits than its factorization.

4105818827117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178425.

The product of its (nonzero) digits is 1003520, while the sum is 53.

The spelling of 4105818827117 in words is "four trillion, one hundred five billion, eight hundred eighteen million, eight hundred twenty-seven thousand, one hundred seventeen".

Divisors: 1 7 19 133 163 1069 1141 3097 7483 20311 21679 142177 174247 177167 1219729 1240169 3310693 3366173 23174851 23563211 28878221 189391523 202147547 548686199 1325740661 3598438937 3840803393 25189072559 30870818249 216095727743 586545546731 4105818827117