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23506944120 = 23335112931271
BaseRepresentation
bin10101111001000111…
…111000000001111000
32020200020110111012000
4111321013320001320
5341120234202440
614444323221000
71461344504532
oct257107700170
966606414160
1023506944120
119a7306a050
124680517760
1322a8105bba
1411cdd70852
15928a9a730
hex5791f8078

23506944120 has 768 divisors, whose sum is σ = 92658816000. Its totient is φ = 5249664000.

The previous prime is 23506944113. The next prime is 23506944133. The reversal of 23506944120 is 2144960532.

It is a happy number.

23506944120 is a `hidden beast` number, since 2 + 3 + 506 + 94 + 41 + 20 = 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 191 ways as a sum of consecutive naturals, for example, 331083685 + ... + 331083755.

It is an arithmetic number, because the mean of its divisors is an integer number (120649500).

Almost surely, 223506944120 is an apocalyptic number.

23506944120 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 23506944120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46329408000).

23506944120 is an abundant number, since it is smaller than the sum of its proper divisors (69151871880).

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

23506944120 is a wasteful number, since it uses less digits than its factorization.

23506944120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23506944120 in words is "twenty-three billion, five hundred six million, nine hundred forty-four thousand, one hundred twenty".