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23123808000 = 283253174723
BaseRepresentation
bin10101100010010010…
…010100111100000000
32012200112112011020100
4111202102110330000
5334324143324000
614342315242400
71446013060566
oct254222247400
965615464210
1023123808000
119896872227
124594149400
13224691a437
141195119a36
15905118a00
hex562494f00

23123808000 has 432 divisors, whose sum is σ = 88119341856. Its totient is φ = 5802393600.

The previous prime is 23123807999. The next prime is 23123808007. The reversal of 23123808000 is 80832132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123808007) 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 47 ways as a sum of consecutive naturals, for example, 4893639 + ... + 4898361.

It is an arithmetic number, because the mean of its divisors is an integer number (203979958).

Almost surely, 223123808000 is an apocalyptic number.

23123808000 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 23123808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44059670928).

23123808000 is an abundant number, since it is smaller than the sum of its proper divisors (64995533856).

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

23123808000 is a wasteful number, since it uses less digits than its factorization.

23123808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 23123808000 in words is "twenty-three billion, one hundred twenty-three million, eight hundred eight thousand".