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5642219814912 = 217316
BaseRepresentation
bin101001000011010111010…
…0000100000000000000000
3201222101120000000000000000
41102012232200200000000
51214420231233034122
620000000000000000
71121431316055432
oct122065640400000
921871500000000
105642219814912
111885940aa197a
12771600000000
1331c09c952775
14157128d52652
159bb78da90ac
hex521ae820000

5642219814912 has 306 divisors, whose sum is σ = 16926594743583. Its totient is φ = 1880739938304.

The previous prime is 5642219814911. The next prime is 5642219814929. The reversal of 5642219814912 is 2194189122465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)16 ⋅ 2!.

5642219814912 is a `hidden beast` number, since 5 + 6 + 42 + 21 + 98 + 1 + 491 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2821109907456 + 2821109907456 = 1679616^2 + 1679616^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1679616.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2488320) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (5642219814911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 16 ways as a sum of consecutive naturals, for example, 1880739938303 + 1880739938304 + 1880739938305.

Almost surely, 25642219814912 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 5642219814912

5642219814912 is an abundant number, since it is smaller than the sum of its proper divisors (11284374928671).

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

5642219814912 is an frugal number, since it uses more digits than its factorization.

5642219814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 5 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 5642219814912 in words is "five trillion, six hundred forty-two billion, two hundred nineteen million, eight hundred fourteen thousand, nine hundred twelve".