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18340518203136 = 2838193118539
BaseRepresentation
bin1000010101110001111000…
…00100101000111100000000
32101221100002020200200000000
410022320330010220330000
54400442340130000021
6103001303500000000
73602026065340263
oct412707404507400
971840066620000
1018340518203136
115931196431248
122082622530000
13a306710ba1bc
14475985c50cda
1521c12b7b0b26
hex10ae3c128f00

18340518203136 has 648 divisors, whose sum is σ = 59669147865600. Its totient is φ = 5604609853440.

The previous prime is 18340518203123. The next prime is 18340518203177. The reversal of 18340518203136 is 63130281504381.

It is a happy number.

18340518203136 is a `hidden beast` number, since 1 + 8 + 3 + 405 + 1 + 8 + 203 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18340518203091 and 18340518203100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 989284555 + ... + 989303093.

Almost surely, 218340518203136 is an apocalyptic number.

18340518203136 is a gapful number since it is divisible by the number (16) 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 18340518203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29834573932800).

18340518203136 is an abundant number, since it is smaller than the sum of its proper divisors (41328629662464).

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

18340518203136 is an frugal number, since it uses more digits than its factorization.

18340518203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18629 (or 18594 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18340518203136 in words is "eighteen trillion, three hundred forty billion, five hundred eighteen million, two hundred three thousand, one hundred thirty-six".