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16338399912 = 2332376133033
BaseRepresentation
bin11110011011101100…
…00011001010101000
31120011122120201012200
433031312003022220
5231430112244122
611301124340200
71115611051662
oct171566031250
946148521180
1016338399912
116a2466774a
1231bb844660
131704c0a473
14b0dc9d532
1565958c5ac
hex3cdd832a8

16338399912 has 48 divisors (see below), whose sum is σ = 45445781940. Its totient is φ = 5298939648.

The previous prime is 16338399911. The next prime is 16338399923. The reversal of 16338399912 is 21999383361.

It is a happy number.

16338399912 is a `hidden beast` number, since 163 + 3 + 8 + 399 + 91 + 2 = 666.

16338399912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16120365156 + 218034756 = 126966^2 + 14766^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16338399911) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3063853 + ... + 3069180.

Almost surely, 216338399912 is an apocalyptic number.

16338399912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16338399912 is an abundant number, since it is smaller than the sum of its proper divisors (29107382028).

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

16338399912 is a wasteful number, since it uses less digits than its factorization.

16338399912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133082 (or 6133075 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The spelling of 16338399912 in words is "sixteen billion, three hundred thirty-eight million, three hundred ninety-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 6133033 12266066 18399099 24532132 36798198 49064264 55197297 73596396 110394594 147192792 220789188 226922221 441578376 453844442 680766663 907688884 1361533326 1815377768 2042299989 2723066652 4084599978 5446133304 8169199956 16338399912