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11743217673117 = 37325744405689
BaseRepresentation
bin1010101011100010111001…
…0100010110001110011101
31112120122022000211100021020
42222320232110112032131
53014400102211014432
640550432033354353
72321263611156000
oct252705624261635
945518260740236
1011743217673117
1138182a8260027
121397ab7a089b9
136724c445c328
142c8536513537
1515570498822c
hexaae2e51639d

11743217673117 has 32 divisors (see below), whose sum is σ = 18330668832000. Its totient is φ = 6684299403264.

The previous prime is 11743217673071. The next prime is 11743217673133. The reversal of 11743217673117 is 71137671234711.

It is not a de Polignac number, because 11743217673117 - 220 = 11743216624541 is a prime.

It is a super-2 number, since 2×117432176731172 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11743217673117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11743217673217) 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 31 ways as a sum of consecutive naturals, for example, 21938392 + ... + 22467297.

It is an arithmetic number, because the mean of its divisors is an integer number (572833401000).

Almost surely, 211743217673117 is an apocalyptic number.

It is an amenable number.

11743217673117 is a deficient number, since it is larger than the sum of its proper divisors (6587451158883).

11743217673117 is an equidigital number, since it uses as much as digits as its factorization.

11743217673117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44405970 (or 44405956 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 51.

The spelling of 11743217673117 in words is "eleven trillion, seven hundred forty-three billion, two hundred seventeen million, six hundred seventy-three thousand, one hundred seventeen".

Divisors: 1 3 7 21 49 147 257 343 771 1029 1799 5397 12593 37779 88151 264453 44405689 133217067 310839823 932519469 2175878761 6527636283 11412262073 15231151327 34236786219 45693453981 79885834511 239657503533 559200841577 1677602524731 3914405891039 11743217673117