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23383922688 = 2113272171523
BaseRepresentation
bin10101110001110010…
…100101100000000000
32020100122222100111200
4111301302211200000
5340342241011223
614424210341200
71455322030500
oct256162454000
966318870450
1023383922688
119a0a684245
12464728a800
132288791959
1411bb8a9a00
1591cd99a43
hex571ca5800

23383922688 has 432 divisors, whose sum is σ = 83239523640. Its totient is φ = 6283984896.

The previous prime is 23383922677. The next prime is 23383922689. The reversal of 23383922688 is 88622938332.

23383922688 is a `hidden beast` number, since 2 + 338 + 3 + 9 + 226 + 88 = 666.

It is a super-2 number, since 2×233839226882 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23383922689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15353095 + ... + 15354617.

Almost surely, 223383922688 is an apocalyptic number.

23383922688 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 23383922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41619761820).

23383922688 is an abundant number, since it is smaller than the sum of its proper divisors (59855600952).

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

23383922688 is a wasteful number, since it uses less digits than its factorization.

23383922688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1552 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 23383922688 in words is "twenty-three billion, three hundred eighty-three million, nine hundred twenty-two thousand, six hundred eighty-eight".