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23419880928 = 25321941139751
BaseRepresentation
bin10101110011111011…
…110000010111100000
32020110011122012221100
4111303323300113200
5340430442142203
614431533154400
71456236463143
oct256373602740
966404565840
1023419880928
119a28a041a4
12465732ba00
132293071912
1411c258a05a
159210edea3
hex573ef05e0

23419880928 has 288 divisors, whose sum is σ = 72428428800. Its totient is φ = 7153920000.

The previous prime is 23419880917. The next prime is 23419880977. The reversal of 23419880928 is 82908891432.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31184553 + ... + 31185303.

It is an arithmetic number, because the mean of its divisors is an integer number (251487600).

Almost surely, 223419880928 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 23419880928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36214214400).

23419880928 is an abundant number, since it is smaller than the sum of its proper divisors (49008547872).

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

23419880928 is a wasteful number, since it uses less digits than its factorization.

23419880928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 23419880928 in words is "twenty-three billion, four hundred nineteen million, eight hundred eighty thousand, nine hundred twenty-eight".