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446242242644 = 221122734461887
BaseRepresentation
bin1100111111001100001…
…11000100000001010100
31120122211101111200121022
412133212013010001110
524302401003231034
6541000103540312
744145204322652
oct6374607040124
91518741450538
10446242242644
11162283126760
127259975a698
1333107a141b3
14178537d9dd2
15b91b418b2e
hex67e61c4054

446242242644 has 24 divisors (see below), whose sum is σ = 852291998208. Its totient is φ = 202748099840.

The previous prime is 446242242613. The next prime is 446242242659.

446242242644 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4462422426442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 446242242595 and 446242242604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2130932 + ... + 2330955.

It is an arithmetic number, because the mean of its divisors is an integer number (35512166592).

Almost surely, 2446242242644 is an apocalyptic number.

446242242644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

446242242644 is a deficient number, since it is larger than the sum of its proper divisors (406049755564).

446242242644 is a wasteful number, since it uses less digits than its factorization.

446242242644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464175 (or 4464173 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 446242 and 242644, that added together give a palindrome (688886).

The spelling of 446242242644 in words is "four hundred forty-six billion, two hundred forty-two million, two hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 44 2273 4546 9092 25003 50006 100012 4461887 8923774 17847548 49080757 98161514 196323028 10141869151 20283738302 40567476604 111560560661 223121121322 446242242644