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16818461352 = 23337111723499
BaseRepresentation
bin11111010100111010…
…10101101010101000
31121102002220100201000
433222131111222220
5233421011230402
611420513555000
71133530364010
oct175235255250
947362810630
1016818461352
117150645a40
123314575a60
1317805010a4
14b57944c40
156867b7c1c
hex3ea755aa8

16818461352 has 384 divisors, whose sum is σ = 61891200000. Its totient is φ = 4110289920.

The previous prime is 16818461351. The next prime is 16818461357. The reversal of 16818461352 is 25316481861.

16818461352 is a `hidden beast` number, since 1 + 68 + 184 + 61 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16818461298 and 16818461307.

It is not an unprimeable number, because it can be changed into a prime (16818461351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804899 + ... + 4808397.

It is an arithmetic number, because the mean of its divisors is an integer number (161175000).

Almost surely, 216818461352 is an apocalyptic number.

16818461352 is a gapful number since it is divisible by the number (12) 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 16818461352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30945600000).

16818461352 is an abundant number, since it is smaller than the sum of its proper divisors (45072738648).

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

16818461352 is a wasteful number, since it uses less digits than its factorization.

16818461352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3539 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 16818461352 in words is "sixteen billion, eight hundred eighteen million, four hundred sixty-one thousand, three hundred fifty-two".