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868503834198 = 23471121334367
BaseRepresentation
bin11001010001101101101…
…11001100111001010110
310002000202112012002020000
430220312313030321112
5103212143440143243
61502552443152130
7116514222533160
oct14506667147126
93060675162200
10868503834198
1130536a855300
121203a4215646
1363b90445000
1430070395930
15178d23b45d3
hexca36dcce56

868503834198 has 960 divisors, whose sum is σ = 2750342622720. Its totient is φ = 200354394240.

The previous prime is 868503834193. The next prime is 868503834251. The reversal of 868503834198 is 891438305868.

868503834198 is a `hidden beast` number, since 8 + 6 + 8 + 503 + 8 + 34 + 1 + 98 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868503834193) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12962743761 + ... + 12962743827.

It is an arithmetic number, because the mean of its divisors is an integer number (2864940232).

Almost surely, 2868503834198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868503834198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375171311360).

868503834198 is an abundant number, since it is smaller than the sum of its proper divisors (1881838788522).

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

868503834198 is a wasteful number, since it uses less digits than its factorization.

868503834198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 868503834198 in words is "eight hundred sixty-eight billion, five hundred three million, eight hundred thirty-four thousand, one hundred ninety-eight".