Search a number
-
+
23420565504 = 21139783
BaseRepresentation
bin10101110011111110…
…010111100000000000
32020110012221000000000
4111303332113200000
5340431131044004
614432000000000
71456245344040
oct256376274000
966405830000
1023420565504
119a29331566
124657600000
1322932513ab
1411c26c7720
159211d6c39
hex573f97800

23420565504 has 480 divisors, whose sum is σ = 81245324160. Its totient is φ = 6610968576.

The previous prime is 23420565481. The next prime is 23420565529. The reversal of 23420565504 is 40556502432.

23420565504 is a `hidden beast` number, since 2 + 3 + 42 + 0 + 565 + 50 + 4 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 282175447 + ... + 282175529.

It is an arithmetic number, because the mean of its divisors is an integer number (169261092).

Almost surely, 223420565504 is an apocalyptic number.

23420565504 is a gapful number since it is divisible by the number (24) 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 23420565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622662080).

23420565504 is an abundant number, since it is smaller than the sum of its proper divisors (57824758656).

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

23420565504 is an frugal number, since it uses more digits than its factorization.

23420565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 23420565504 in words is "twenty-three billion, four hundred twenty million, five hundred sixty-five thousand, five hundred four".