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5679810189765 = 325294679930187
BaseRepresentation
bin101001010100110111100…
…0100011001100111000101
3202002222120201220220012200
41102221233010121213011
51221024222402033030
620025134020105113
71124231664014145
oct122515704314705
922088521826180
105679810189765
11189a880863978
12778950b35199
133227b072931a
14158c934b6925
159cb29067d60
hex52a6f1199c5

5679810189765 has 48 divisors (see below), whose sum is σ = 10186674825600. Its totient is φ = 2924147592576.

The previous prime is 5679810189721. The next prime is 5679810189787.

5679810189765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5679810189765 - 29 = 5679810189253 is a prime.

It is a super-5 number, since 5×56798101897655 (a number of 65 digits) contains 55555 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5679810189693 and 5679810189702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5641002 + ... + 6571188.

It is an arithmetic number, because the mean of its divisors is an integer number (212222392200).

Almost surely, 25679810189765 is an apocalyptic number.

It is an amenable number.

5679810189765 is a deficient number, since it is larger than the sum of its proper divisors (4506864635835).

5679810189765 is a wasteful number, since it uses less digits than its factorization.

5679810189765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934906 (or 934903 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 5679810189765 in words is "five trillion, six hundred seventy-nine billion, eight hundred ten million, one hundred eighty-nine thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 4679 14037 23395 42111 70185 135691 210555 407073 678455 930187 1221219 2035365 2790561 4650935 6106095 8371683 13952805 26975423 41858415 80926269 134877115 242778807 404631345 1213894035 4352344973 13057034919 21761724865 39171104757 65285174595 126218004217 195855523785 378654012651 631090021085 1135962037953 1893270063255 5679810189765