Search a number
-
+
21823845780 = 223511231519521
BaseRepresentation
bin10100010100110011…
…010111010110010100
32002022221102020022110
4110110303113112110
5324143401031110
614005320431020
71401546425352
oct242463272624
962287366273
1021823845780
119289aa0390
124290918470
13209a4c6719
1410b06087d2
1587ae34a20
hex514cd7594

21823845780 has 192 divisors, whose sum is σ = 70028292096. Its totient is φ = 5026560000.

The previous prime is 21823845779. The next prime is 21823845817. The reversal of 21823845780 is 8754832812.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2287420 + ... + 2296940.

It is an arithmetic number, because the mean of its divisors is an integer number (364730688).

Almost surely, 221823845780 is an apocalyptic number.

21823845780 is a gapful number since it is divisible by the number (20) 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 21823845780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35014146048).

21823845780 is an abundant number, since it is smaller than the sum of its proper divisors (48204446316).

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

21823845780 is a wasteful number, since it uses less digits than its factorization.

21823845780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 21823845780 in words is "twenty-one billion, eight hundred twenty-three million, eight hundred forty-five thousand, seven hundred eighty".