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23384272320 = 26345372659
BaseRepresentation
bin10101110001110011…
…111010110111000000
32020100200122010010000
4111301303322313000
5340342333203240
614424222040000
71455325015023
oct256163726700
966320563100
1023384272320
119a0a8a29a2
124647419000
132288884b36
1411bb95b1ba
1591ce18430
hex571cfadc0

23384272320 has 420 divisors, whose sum is σ = 85620621240. Its totient is φ = 6058063872.

The previous prime is 23384272309. The next prime is 23384272367. The reversal of 23384272320 is 2327248332.

23384272320 is a `hidden beast` number, since 2 + 3 + 384 + 272 + 3 + 2 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35484151 + ... + 35484809.

It is an arithmetic number, because the mean of its divisors is an integer number (203858622).

Almost surely, 223384272320 is an apocalyptic number.

23384272320 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 23384272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810310620).

23384272320 is an abundant number, since it is smaller than the sum of its proper divisors (62236348920).

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

23384272320 is an equidigital number, since it uses as much as digits as its factorization.

23384272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23384272320 in words is "twenty-three billion, three hundred eighty-four million, two hundred seventy-two thousand, three hundred twenty".