Search a number
-
+
16443423234675 = 3252175113784067
BaseRepresentation
bin1110111101001000100001…
…1001101001101001110011
32011012222100102211001101100
43233102020121221221303
54123402112322002200
654550000534535443
73314666233225353
oct357221031515163
964188312731340
1016443423234675
11526a686811778
121a16a19207583
139237ba178548
1440bc1a186b63
151d7ae7aa2d00
hexef488669a73

16443423234675 has 72 divisors (see below), whose sum is σ = 31185449311536. Its totient is φ = 8253694033920.

The previous prime is 16443423234643. The next prime is 16443423234691. The reversal of 16443423234675 is 57643232434461.

16443423234675 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 342 + 3 + 234 + 67 + 5 = 666.

It is not a de Polignac number, because 16443423234675 - 25 = 16443423234643 is a prime.

It is a super-3 number, since 3×164434232346753 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195556992 + ... + 195641058.

It is an arithmetic number, because the mean of its divisors is an integer number (433131240438).

Almost surely, 216443423234675 is an apocalyptic number.

16443423234675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16443423234675 is a deficient number, since it is larger than the sum of its proper divisors (14742026076861).

16443423234675 is a wasteful number, since it uses less digits than its factorization.

16443423234675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135237 (or 135229 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 54.

The spelling of 16443423234675 in words is "sixteen trillion, four hundred forty-three billion, four hundred twenty-three million, two hundred thirty-four thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 51137 84067 153411 252201 255685 420335 460233 756603 767055 869329 1261005 1278425 1429139 2101675 2301165 2607987 3783015 3835275 4287417 4346645 6305025 7145695 7823961 11505825 12862251 13039935 18915075 21437085 21733225 35728475 39119805 64311255 65199675 107185425 195599025 321556275 4298934179 12896802537 21494670895 38690407611 64484012685 73081881043 107473354475 193452038055 219245643129 322420063425 365409405215 657736929387 967260190275 1096228215645 1827047026075 3288684646935 5481141078225 16443423234675