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18238472128 = 262930732009
BaseRepresentation
bin10000111111000110…
…001111111111000000
31202002001220101021201
4100333012033333000
5244323022102003
612213441430544
71213652312062
oct207706177700
952061811251
1018238472128
11780a162068
12365003b454
131948767b56
14c50385732
1571b2b1b1d
hex43f18ffc0

18238472128 has 56 divisors (see below), whose sum is σ = 37563094800. Its totient is φ = 8775825408.

The previous prime is 18238472111. The next prime is 18238472129. The reversal of 18238472128 is 82127483281.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18238472129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 553788 + ... + 585796.

It is an arithmetic number, because the mean of its divisors is an integer number (670769550).

Almost surely, 218238472128 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 18238472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781547400).

18238472128 is an abundant number, since it is smaller than the sum of its proper divisors (19324622672).

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

18238472128 is a wasteful number, since it uses less digits than its factorization.

18238472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32357 (or 32347 counting only the distinct ones).

The product of its digits is 344064, while the sum is 46.

The spelling of 18238472128 in words is "eighteen billion, two hundred thirty-eight million, four hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 307 464 614 928 1228 1856 2456 4912 8903 9824 17806 19648 32009 35612 64018 71224 128036 142448 256072 284896 512144 569792 928261 1024288 1856522 2048576 3713044 7426088 9826763 14852176 19653526 29704352 39307052 59408704 78614104 157228208 284976127 314456416 569952254 628912832 1139904508 2279809016 4559618032 9119236064 18238472128