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16434148016 = 2411137182757
BaseRepresentation
bin11110100111000110…
…10011001010110000
31120102022202012220202
433103203103022300
5232124120214031
611314424454332
71121152644656
oct172343231260
946368665822
1016434148016
116a73714710
12322791a3a8
13171b9c2850
14b1c8a4dd6
15662ba22cb
hex3d38d32b0

16434148016 has 40 divisors (see below), whose sum is σ = 37407803664. Its totient is φ = 6895445760.

The previous prime is 16434148009. The next prime is 16434148033. The reversal of 16434148016 is 61084143461.

16434148016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3589091 + ... + 3593666.

Almost surely, 216434148016 is an apocalyptic number.

16434148016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16434148016 is an abundant number, since it is smaller than the sum of its proper divisors (20973655648).

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

16434148016 is a wasteful number, since it uses less digits than its factorization.

16434148016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182789 (or 7182783 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 16434148016 in words is "sixteen billion, four hundred thirty-four million, one hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 7182757 14365514 28731028 57462056 79010327 93375841 114924112 158020654 186751682 316041308 373503364 632082616 747006728 1027134251 1264165232 1494013456 2054268502 4108537004 8217074008 16434148016