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18963728208 = 2433173122687
BaseRepresentation
bin10001101010010100…
…111000011101010000
31210221121121012121000
4101222110320131100
5302314203300313
612413430302000
71240640013225
oct215224703520
953847535530
1018963728208
118051591757
123812ab7900
131a32aaab69
14cbc81594c
1575ecc2673
hex46a538750

18963728208 has 240 divisors, whose sum is σ = 59576186880. Its totient is φ = 5755345920.

The previous prime is 18963728207. The next prime is 18963728209. The reversal of 18963728208 is 80282736981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18963728207) and next prime (18963728209).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18963728207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7056241 + ... + 7058927.

It is an arithmetic number, because the mean of its divisors is an integer number (248234112).

Almost surely, 218963728208 is an apocalyptic number.

18963728208 is a gapful number since it is divisible by the number (18) 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 18963728208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29788093440).

18963728208 is an abundant number, since it is smaller than the sum of its proper divisors (40612458672).

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

18963728208 is a wasteful number, since it uses less digits than its factorization.

18963728208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18963728208 in words is "eighteen billion, nine hundred sixty-three million, seven hundred twenty-eight thousand, two hundred eight".