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6441221466 = 233119281879
BaseRepresentation
bin1011111111110110…
…10011110101011010
3121121220021221202000
411333323103311122
5101142423041331
62543053421430
7315422323221
oct57773236532
917556257660
106441221466
1128059a1029
1212b919a876
137b8610b64
14451663cb8
1527a7400e6
hex17fed3d5a

6441221466 has 16 divisors (see below), whose sum is σ = 14313825600. Its totient is φ = 2147073804.

The previous prime is 6441221441. The next prime is 6441221467. The reversal of 6441221466 is 6641221446.

6441221466 is a `hidden beast` number, since 644 + 1 + 2 + 2 + 1 + 4 + 6 + 6 = 666.

It is a super-4 number, since 4×64412214664 (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6441221466.

It is not an unprimeable number, because it can be changed into a prime (6441221467) 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 7 ways as a sum of consecutive naturals, for example, 59640886 + ... + 59640993.

It is an arithmetic number, because the mean of its divisors is an integer number (894614100).

Almost surely, 26441221466 is an apocalyptic number.

6441221466 is an abundant number, since it is smaller than the sum of its proper divisors (7872604134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6441221466 is a wasteful number, since it uses less digits than its factorization.

6441221466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119281890 (or 119281884 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6441221466 is about 80257.2206471169. The cubic root of 6441221466 is about 1860.6131121335.

The spelling of 6441221466 in words is "six billion, four hundred forty-one million, two hundred twenty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 119281879 238563758 357845637 715691274 1073536911 2147073822 3220610733 6441221466