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16442625040135 = 5717371275880967
BaseRepresentation
bin1110111101000101100011…
…0100110001111100000111
32011012220021210212120022121
43233101120310301330013
54123343444002241020
654545345422510411
73314640401541520
oct357213064617407
964186253776277
1016442625040135
11526a3071a4368
121a16835a35407
139236c09a8398
1440bb8216b847
151d7a9c985baa
hexef458d31f07

16442625040135 has 64 divisors (see below), whose sum is σ = 24714744496128. Its totient is φ = 10243607721984.

The previous prime is 16442625040133. The next prime is 16442625040139. The reversal of 16442625040135 is 53104052624461.

It is not a de Polignac number, because 16442625040135 - 21 = 16442625040133 is a prime.

It is a super-3 number, since 3×164426250401353 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16442625040091 and 16442625040100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442625040133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144579 + ... + 5736388.

It is an arithmetic number, because the mean of its divisors is an integer number (386167882752).

Almost surely, 216442625040135 is an apocalyptic number.

16442625040135 is a deficient number, since it is larger than the sum of its proper divisors (8272119455993).

16442625040135 is a wasteful number, since it uses less digits than its factorization.

16442625040135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881160.

The product of its (nonzero) digits is 691200, while the sum is 43.

Adding to 16442625040135 its reverse (53104052624461), we get a palindrome (69546677664596).

The spelling of 16442625040135 in words is "sixteen trillion, four hundred forty-two billion, six hundred twenty-five million, forty thousand, one hundred thirty-five".

Divisors: 1 5 7 17 35 37 85 119 127 185 259 595 629 635 889 1295 2159 3145 4403 4445 4699 10795 15113 22015 23495 32893 75565 79883 164465 399415 559181 2795905 5880967 29404835 41166769 99976439 205833845 217595779 499882195 699835073 746882809 1087978895 1523170453 3499175365 3699128243 3734414045 5228179663 7615852265 12697007753 18495641215 25893897701 26140898315 27634663933 63485038765 88879054271 129469488505 138173319665 193442647531 444395271355 469789286861 967213237655 2348946434305 3288525008027 16442625040135