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4463660663644 = 227132174113110331
BaseRepresentation
bin100000011110100011011…
…1010001000001101011100
3120210201111012000212011011
41000331012322020031130
51041113034112214034
613254324415105004
7640326446423440
oct100750672101534
916721435025134
104463660663644
111471034093886
12601106b12164
13264bc93c4100
14116084216820
157b19b69c864
hex40f46e8835c

4463660663644 has 288 divisors, whose sum is σ = 10566210074112. Its totient is φ = 1608901632000.

The previous prime is 4463660663629. The next prime is 4463660663713.

4463660663644 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 432059559 + ... + 432069889.

It is an arithmetic number, because the mean of its divisors is an integer number (36688229424).

Almost surely, 24463660663644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4463660663644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283105037056).

4463660663644 is an abundant number, since it is smaller than the sum of its proper divisors (6102549410468).

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

4463660663644 is a wasteful number, since it uses less digits than its factorization.

4463660663644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 58.

The spelling of 4463660663644 in words is "four trillion, four hundred sixty-three billion, six hundred sixty million, six hundred sixty-three thousand, six hundred forty-four".