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16128046296 = 233386412
BaseRepresentation
bin11110000010100111…
…00111010011011000
31112121222202122022000
433001103213103120
5231012234440141
611224212001000
71110445063065
oct170123472330
945558678260
1016128046296
11692695298a
123161300160
1316a046967b
14acdd83c6c
15645d8a5b6
hex3c14e74d8

16128046296 has 48 divisors (see below), whose sum is σ = 44805313800. Its totient is φ = 5375393280.

The previous prime is 16128046289. The next prime is 16128046301. The reversal of 16128046296 is 69264082161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16128046296 is a `hidden beast` number, since 1 + 6 + 12 + 8 + 0 + 4 + 629 + 6 = 666.

16128046296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161280462962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1862136 + ... + 1870776.

Almost surely, 216128046296 is an apocalyptic number.

It is an amenable number.

16128046296 is an abundant number, since it is smaller than the sum of its proper divisors (28677267504).

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

16128046296 is an frugal number, since it uses more digits than its factorization.

16128046296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17297 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 1612804 and 6296, that added together give a triangular number (1619100 = T1799).

The spelling of 16128046296 in words is "sixteen billion, one hundred twenty-eight million, forty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 8641 17282 25923 34564 51846 69128 77769 103692 155538 207384 233307 311076 466614 622152 933228 1866456 74666881 149333762 224000643 298667524 448001286 597335048 672001929 896002572 1344003858 1792005144 2016005787 2688007716 4032011574 5376015432 8064023148 16128046296