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23808330000 = 2434547131719
BaseRepresentation
bin10110001011000101…
…100100100100010000
32021110020120110220000
4112023011210210100
5342224413030000
614534251050000
71501664315550
oct261305444420
967406513800
1023808330000
11a1081aa794
124745440900
13232569a740
14121bdc5160
15945280000
hex58b164910

23808330000 has 2000 divisors, whose sum is σ = 118118689920. Its totient is φ = 4478976000.

The previous prime is 23808329971. The next prime is 23808330001. The reversal of 23808330000 is 3380832.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23808330001) 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 399 ways as a sum of consecutive naturals, for example, 1253069991 + ... + 1253070009.

Almost surely, 223808330000 is an apocalyptic number.

23808330000 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 23808330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59059344960).

23808330000 is an abundant number, since it is smaller than the sum of its proper divisors (94310359920).

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

23808330000 is a wasteful number, since it uses less digits than its factorization.

23808330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 23808330000 in words is "twenty-three billion, eight hundred eight million, three hundred thirty thousand".