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13743766016347 = 172335150296717
BaseRepresentation
bin1100011111111111100001…
…0010101001000101011011
31210122220001200110220201211
43013333320102221011123
53300134213100010342
645121444323323551
72615645222415253
oct307777022510533
953586050426654
1013743766016347
114419775687234
12165b7735205b7
137890544a3a43
143572b7b40963
1518c790b7cc17
hexc7ff84a915b

13743766016347 has 8 divisors (see below), whose sum is σ = 15184928182176. Its totient is φ = 12372904444032.

The previous prime is 13743766016329. The next prime is 13743766016363. The reversal of 13743766016347 is 74361066734731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13743766016347 - 211 = 13743766014299 is a prime.

It is a super-2 number, since 2×137437660163472 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13743766016291 and 13743766016300.

It is not an unprimeable number, because it can be changed into a prime (13743766016447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17575147968 + ... + 17575148749.

It is an arithmetic number, because the mean of its divisors is an integer number (1898116022772).

Almost surely, 213743766016347 is an apocalyptic number.

13743766016347 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13743766016347 is a deficient number, since it is larger than the sum of its proper divisors (1441162165829).

13743766016347 is a wasteful number, since it uses less digits than its factorization.

13743766016347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35150296757.

The product of its (nonzero) digits is 32006016, while the sum is 58.

The spelling of 13743766016347 in words is "thirteen trillion, seven hundred forty-three billion, seven hundred sixty-six million, sixteen thousand, three hundred forty-seven".

Divisors: 1 17 23 391 35150296717 597555044189 808456824491 13743766016347