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16442615664441 = 3231124001244759
BaseRepresentation
bin1110111101000101100001…
…0001000000111100111001
32011012220021011020020021200
43233101120101000330321
54123343434102230231
654545344445524413
73314640226052241
oct357213021007471
964186234206250
1016442615664441
11526a30198025a
121a16832873709
139236bba74a35
1440bb80c0ab21
151d7a9bc32be6
hexef458440f39

16442615664441 has 24 divisors (see below), whose sum is σ = 23827902933120. Its totient is φ = 10925997120000.

The previous prime is 16442615664407. The next prime is 16442615664469. The reversal of 16442615664441 is 14446651624461.

16442615664441 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 6 + 156 + 6 + 4 + 441 = 666.

It is not a de Polignac number, because 16442615664441 - 210 = 16442615663417 is a prime.

It is a super-3 number, since 3×164426156644413 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442615668441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67056420 + ... + 67301178.

It is an arithmetic number, because the mean of its divisors is an integer number (992829288880).

Almost surely, 216442615664441 is an apocalyptic number.

It is an amenable number.

16442615664441 is a deficient number, since it is larger than the sum of its proper divisors (7385287268679).

16442615664441 is a wasteful number, since it uses less digits than its factorization.

16442615664441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269077 (or 269074 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 16442615664441 in words is "sixteen trillion, four hundred forty-two billion, six hundred fifteen million, six hundred sixty-four thousand, four hundred forty-one".

Divisors: 1 3 9 311 933 2799 24001 72003 216009 244759 734277 2202831 7464311 22392933 67178799 76120049 228360147 685080441 5874460759 17623382277 52870146831 1826957296049 5480871888147 16442615664441