Search a number
-
+
5642451100000 = 25551113394577
BaseRepresentation
bin101001000011011110001…
…0010110010000101100000
3201222102011010012111111101
41102012330102302011200
51214421214440200000
620000034541124144
71121440125003121
oct122067422620540
921872133174441
105642451100000
111885a4a602880
12771665559654
1331c108841950
1415714b95a048
159bb8e342e6a
hex521bc4b2160

5642451100000 has 288 divisors, whose sum is σ = 16312290134112. Its totient is φ = 1893964800000.

The previous prime is 5642451099991. The next prime is 5642451100001. The reversal of 5642451100000 is 11542465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642451100001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14102712 + ... + 14497288.

It is an arithmetic number, because the mean of its divisors is an integer number (56639896299).

Almost surely, 25642451100000 is an apocalyptic number.

5642451100000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5642451100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156145067056).

5642451100000 is an abundant number, since it is smaller than the sum of its proper divisors (10669839034112).

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

5642451100000 is a wasteful number, since it uses less digits than its factorization.

5642451100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394636 (or 394608 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 5642451100000 its reverse (11542465), we get a palindrome (5642462642465).

The spelling of 5642451100000 in words is "five trillion, six hundred forty-two billion, four hundred fifty-one million, one hundred thousand".