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18045383855616 = 29351325316193
BaseRepresentation
bin1000001101001100001001…
…01100011100111000000000
32100220010021211100101200000
410012212010230130320000
54331123421231334431
6102213533534400000
73541510301643435
oct406460454347000
970803254311600
1018045383855616
115828005820747
122035396660000
13a0b89833b900
14465588ddbb8c
1521460636b9e6
hex106984b1ce00

18045383855616 has 720 divisors, whose sum is σ = 59590359004176. Its totient is φ = 5447326629888.

The previous prime is 18045383855593. The next prime is 18045383855647. The reversal of 18045383855616 is 61655838354081.

18045383855616 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 5 + 3 + 8 + 3 + 8 + 5 + 5 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1114386016 + ... + 1114402208.

Almost surely, 218045383855616 is an apocalyptic number.

18045383855616 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 18045383855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29795179502088).

18045383855616 is an abundant number, since it is smaller than the sum of its proper divisors (41544975148560).

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

18045383855616 is an equidigital number, since it uses as much as digits as its factorization.

18045383855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16305 (or 16264 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 18045383855616 in words is "eighteen trillion, forty-five billion, three hundred eighty-three million, eight hundred fifty-five thousand, six hundred sixteen".