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18102066840 = 2333511131931199
BaseRepresentation
bin10000110110111101…
…111001111010011000
31201201120020021102000
4100312331321322120
5244033112114330
612152130041000
71210405013034
oct206675717230
951646207360
1018102066840
11774a165820
123612419160
131926418a70
14c3a1d91c4
1570e31a560
hex436f79e98

18102066840 has 1024 divisors, whose sum is σ = 77414400000. Its totient is φ = 3695155200.

The previous prime is 18102066833. The next prime is 18102066841. The reversal of 18102066840 is 4866020181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18102066795 and 18102066804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18102066841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90965061 + ... + 90965259.

It is an arithmetic number, because the mean of its divisors is an integer number (75600000).

Almost surely, 218102066840 is an apocalyptic number.

18102066840 is a gapful number since it is divisible by the number (10) 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 18102066840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200000).

18102066840 is an abundant number, since it is smaller than the sum of its proper divisors (59312333160).

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

18102066840 is a wasteful number, since it uses less digits than its factorization.

18102066840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18102066840 in words is "eighteen billion, one hundred two million, sixty-six thousand, eight hundred forty".