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844420269249 = 3339521791347
BaseRepresentation
bin11000100100110110101…
…11101100010011000001
32222201121002201012222000
430102123113230103001
5102313333042103444
61443531000534213
7115002343601124
oct14223327542301
92881532635860
10844420269249
112a6131256517
121177a2781369
1361822a3aa6b
142cc27a063bb
1516e72db8469
hexc49b5ec4c1

844420269249 has 16 divisors (see below), whose sum is σ = 1251026226240. Its totient is φ = 562931890560.

The previous prime is 844420269233. The next prime is 844420269269. The reversal of 844420269249 is 942962024448.

It is a happy number.

844420269249 is a `hidden beast` number, since 84 + 44 + 20 + 269 + 249 = 666.

It is not a de Polignac number, because 844420269249 - 24 = 844420269233 is a prime.

It is a super-2 number, since 2×8444202692492 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 844420269195 and 844420269204.

It is not an unprimeable number, because it can be changed into a prime (844420269269) 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 15 ways as a sum of consecutive naturals, for example, 671394 + ... + 1462740.

It is an arithmetic number, because the mean of its divisors is an integer number (78189139140).

Almost surely, 2844420269249 is an apocalyptic number.

It is an amenable number.

844420269249 is a deficient number, since it is larger than the sum of its proper divisors (406605956991).

844420269249 is a wasteful number, since it uses less digits than its factorization.

844420269249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830877 (or 830871 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 844420269249 in words is "eight hundred forty-four billion, four hundred twenty million, two hundred sixty-nine thousand, two hundred forty-nine".

Divisors: 1 3 9 27 39521 118563 355689 791347 1067067 2374041 7122123 21366369 31274824787 93824474361 281473423083 844420269249