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23452824192 = 273719224169
BaseRepresentation
bin10101110101111001…
…011011001010000000
32020112110121220121020
4111311321123022000
5341012410333232
614435111225440
71460116500510
oct256571331200
966473556536
1023452824192
119a45564a36
124666378280
132299b37485
1411c6ac3840
15923e59e2c
hex575e5b280

23452824192 has 192 divisors, whose sum is σ = 75143563200. Its totient is φ = 6347870208.

The previous prime is 23452824167. The next prime is 23452824203. The reversal of 23452824192 is 29142825432.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 958284 + ... + 982452.

It is an arithmetic number, because the mean of its divisors is an integer number (391372725).

Almost surely, 223452824192 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 23452824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37571781600).

23452824192 is an abundant number, since it is smaller than the sum of its proper divisors (51690739008).

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

23452824192 is a wasteful number, since it uses less digits than its factorization.

23452824192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231 (or 24200 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 23452824192 in words is "twenty-three billion, four hundred fifty-two million, eight hundred twenty-four thousand, one hundred ninety-two".