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23444422848 = 26327111943647
BaseRepresentation
bin10101110101011001…
…011000000011000000
32020111212211002010100
4111311121120003000
5341003233012343
614434211202400
71456655210010
oct256531300300
966455732110
1023444422848
119a40846980
1246635a6400
132298185472
1411c5937c40
1592334a9d3
hex5756580c0

23444422848 has 672 divisors, whose sum is σ = 90380759040. Its totient is φ = 5626091520.

The previous prime is 23444422847. The next prime is 23444422871. The reversal of 23444422848 is 84822444432.

23444422848 is a `hidden beast` number, since 2 + 344 + 44 + 228 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×234444228482 (a number of 22 digits) contains 22 as substring.

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 (23444422847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36235261 + ... + 36235907.

Almost surely, 223444422848 is an apocalyptic number.

23444422848 is a gapful number since it is divisible by the number (28) 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 23444422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45190379520).

23444422848 is an abundant number, since it is smaller than the sum of its proper divisors (66936336192).

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

23444422848 is a wasteful number, since it uses less digits than its factorization.

23444422848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 45.

The spelling of 23444422848 in words is "twenty-three billion, four hundred forty-four million, four hundred twenty-two thousand, eight hundred forty-eight".