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18343406016 = 2633132232731
BaseRepresentation
bin10001000101010110…
…100010100111000000
31202100101100120112000
4101011112202213000
5300031402443031
612232110504000
71216365243555
oct210526424700
952311316460
1018343406016
117863413491
12367b205000
131964418300
14c6029ca2c
157255dd3e6
hex4455a29c0

18343406016 has 336 divisors, whose sum is σ = 60954635520. Its totient is φ = 5396751360.

The previous prime is 18343405967. The next prime is 18343406021. The reversal of 18343406016 is 61060434381.

It is a happy number.

18343406016 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 3 + 40 + 601 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6715371 + ... + 6718101.

Almost surely, 218343406016 is an apocalyptic number.

18343406016 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 18343406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30477317760).

18343406016 is an abundant number, since it is smaller than the sum of its proper divisors (42611229504).

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

18343406016 is a wasteful number, since it uses less digits than its factorization.

18343406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 18343406016 in words is "eighteen billion, three hundred forty-three million, four hundred six thousand, sixteen".