Search a number
-
+
5644061222400 = 293252371324151
BaseRepresentation
bin101001000100001110001…
…0000111010011000000000
3201222120022022221012012100
41102020130100322120000
51214433014133104100
620000502415430400
71121525045552406
oct122103420723000
921876268835170
105644061222400
1118866a6468647
12771a34825400
1331c3042acbb3
14157261727476
159bc35891400
hex5221c43a600

5644061222400 has 360 divisors, whose sum is σ = 20744459193744. Its totient is φ = 1464403968000.

The previous prime is 5644061222351. The next prime is 5644061222407. The reversal of 5644061222400 is 42221604465.

5644061222400 is a `hidden beast` number, since 5 + 6 + 4 + 406 + 1 + 2 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5644061222407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3600325 + ... + 4924475.

Almost surely, 25644061222400 is an apocalyptic number.

5644061222400 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 5644061222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372229596872).

5644061222400 is an abundant number, since it is smaller than the sum of its proper divisors (15100397971344).

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

5644061222400 is a wasteful number, since it uses less digits than its factorization.

5644061222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324222 (or 1324198 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 5644061222400 its reverse (42221604465), we get a palindrome (5686282826865).

The spelling of 5644061222400 in words is "five trillion, six hundred forty-four billion, sixty-one million, two hundred twenty-two thousand, four hundred".