Search a number
-
+
5662050750720 = 2834571335367
BaseRepresentation
bin101001001100100110010…
…0001100001000100000000
3202001021202001101220210000
41102121030201201010000
51220231334443010340
620013035445440000
71123032616202010
oct122311441410400
922037661356700
105662050750720
111893298048521
12775415410000
13320c102b5000
1415808a9c9c40
159c439d7bd30
hex5264c861100

5662050750720 has 2880 divisors, whose sum is σ = 25937441671680. Its totient is φ = 1154596405248.

The previous prime is 5662050750703. The next prime is 5662050750761. The reversal of 5662050750720 is 270570502665.

5662050750720 is a `hidden beast` number, since 5 + 6 + 6 + 20 + 507 + 50 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 84508220127 + ... + 84508220193.

It is an arithmetic number, because the mean of its divisors is an integer number (9006056136).

Almost surely, 25662050750720 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 5662050750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968720835840).

5662050750720 is an abundant number, since it is smaller than the sum of its proper divisors (20275390920960).

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

5662050750720 is an equidigital number, since it uses as much as digits as its factorization.

5662050750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 5662050750720 in words is "five trillion, six hundred sixty-two billion, fifty million, seven hundred fifty thousand, seven hundred twenty".