Search a number
-
+
23422746816 = 263276195233
BaseRepresentation
bin10101110100000110…
…101100000011000000
32020110101000211012100
4111310012230003000
5340432210344231
614432114430400
71456303030410
oct256406540300
966411024170
1023422746816
119a2a5913a7
124658292400
132293836201
1411c2ad4640
159214b81e6
hex5741ac0c0

23422746816 has 168 divisors, whose sum is σ = 77986741664. Its totient is φ = 6582435840.

The previous prime is 23422746811. The next prime is 23422746817. The reversal of 23422746816 is 61864722432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23422746811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 198336 + ... + 293568.

Almost surely, 223422746816 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 23422746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38993370832).

23422746816 is an abundant number, since it is smaller than the sum of its proper divisors (54563994848).

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

23422746816 is a wasteful number, since it uses less digits than its factorization.

23422746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95319 (or 95306 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 23422746816 in words is "twenty-three billion, four hundred twenty-two million, seven hundred forty-six thousand, eight hundred sixteen".