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18286714023840 = 25325191449148079
BaseRepresentation
bin1000010100001101101010…
…00101111110111110100000
32101202012012112122011102200
410022012311011332332200
54344102142242230330
6102520444521413200
73565112551350633
oct412066505767640
971665175564380
1018286714023840
115910396372a69
12207410763a200
13a2857817ba12
144731201c1c1a
1521aa2ce76a60
hex10a1b517efa0

18286714023840 has 288 divisors, whose sum is σ = 62870266368000. Its totient is φ = 4840089354240.

The previous prime is 18286714023769. The next prime is 18286714023841. The reversal of 18286714023840 is 4832041768281.

18286714023840 is a `hidden beast` number, since 1 + 82 + 86 + 7 + 1 + 402 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (18286714023841) 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, 123418921 + ... + 123566999.

It is an arithmetic number, because the mean of its divisors is an integer number (218299536000).

Almost surely, 218286714023840 is an apocalyptic number.

18286714023840 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 18286714023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31435133184000).

18286714023840 is an abundant number, since it is smaller than the sum of its proper divisors (44583552344160).

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

18286714023840 is a wasteful number, since it uses less digits than its factorization.

18286714023840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148740 (or 148729 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 18286714023840 in words is "eighteen trillion, two hundred eighty-six billion, seven hundred fourteen million, twenty-three thousand, eight hundred forty".