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11827648172173 = 73197822449633
BaseRepresentation
bin1010110000011101011011…
…0001001001000010001101
31112212201020010201002101211
42230013112301021002031
53022241010413002143
641053314020134421
72330343101443321
oct254072661110215
945781203632354
1011827648172173
113850094057679
1213b033b537411
1367a45b445302
142cc665865981
151579e6db749d
hexac1d6c4908d

11827648172173 has 8 divisors (see below), whose sum is σ = 12050532037368. Its totient is φ = 11606409206784.

The previous prime is 11827648171993. The next prime is 11827648172177. The reversal of 11827648172173 is 37127184672811.

It can be written as a sum of positive squares in 4 ways, for example, as 7209799601449 + 4617848570724 = 2685107^2 + 2148918^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11827648172173 is a prime.

It is a super-2 number, since 2×118276481721732 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11827648172177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411210436 + ... + 411239197.

It is an arithmetic number, because the mean of its divisors is an integer number (1506316504671).

Almost surely, 211827648172173 is an apocalyptic number.

It is an amenable number.

11827648172173 is a deficient number, since it is larger than the sum of its proper divisors (222883865195).

11827648172173 is an equidigital number, since it uses as much as digits as its factorization.

11827648172173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822449903.

The product of its digits is 6322176, while the sum is 58.

The spelling of 11827648172173 in words is "eleven trillion, eight hundred twenty-seven billion, six hundred forty-eight million, one hundred seventy-two thousand, one hundred seventy-three".

Divisors: 1 73 197 14381 822449633 60038823209 162022577701 11827648172173