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4466404046644 = 2210139292813809
BaseRepresentation
bin100000011111110101001…
…1011010011011100110100
3120210222120101012011010221
41000333222123103130310
51041134143413443034
613255500535224124
7640454440664551
oct100775233233464
916728511164127
104466404046644
111472211711061
12601751818044
1326524588a167
141162646dda28
157b2ac451bb4
hex40fea6d3734

4466404046644 has 24 divisors (see below), whose sum is σ = 7895607136200. Its totient is φ = 2210527564800.

The previous prime is 4466404046641. The next prime is 4466404046701.

4466404046644 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2290076890000 + 2176327156644 = 1513300^2 + 1475238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4466404046591 and 4466404046600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466404046641) 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, 180412 + ... + 2994220.

It is an arithmetic number, because the mean of its divisors is an integer number (328983630675).

Almost surely, 24466404046644 is an apocalyptic number.

It is an amenable number.

4466404046644 is a deficient number, since it is larger than the sum of its proper divisors (3429203089556).

4466404046644 is a wasteful number, since it uses less digits than its factorization.

4466404046644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817843 (or 2817841 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 52.

The spelling of 4466404046644 in words is "four trillion, four hundred sixty-six billion, four hundred four million, forty-six thousand, six hundred forty-four".

Divisors: 1 2 4 101 202 404 3929 7858 15716 396829 793658 1587316 2813809 5627618 11255236 284194709 568389418 1136778836 11055455561 22110911122 44221822244 1116601011661 2233202023322 4466404046644