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16442244126 = 23271131737423
BaseRepresentation
bin11110101000000100…
…01011110000011110
31120102212222112200200
433110002023300132
5232133203303001
611315314204330
71121311524540
oct172402136036
946385875620
1016442244126
116a78244410
12322a5836a6
131720598949
14b1d9b1690
15663751086
hex3d408bc1e

16442244126 has 96 divisors (see below), whose sum is σ = 44556715008. Its totient is φ = 4257126720.

The previous prime is 16442244109. The next prime is 16442244139. The reversal of 16442244126 is 62144224461.

16442244126 is a `hidden beast` number, since 1 + 644 + 2 + 2 + 4 + 4 + 1 + 2 + 6 = 666.

It is a super-3 number, since 3×164422441263 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420651 + ... + 458073.

It is an arithmetic number, because the mean of its divisors is an integer number (464132448).

Almost surely, 216442244126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442244126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22278357504).

16442244126 is an abundant number, since it is smaller than the sum of its proper divisors (28114470882).

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

16442244126 is a wasteful number, since it uses less digits than its factorization.

16442244126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37766 (or 37763 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 16442244126 its reverse (62144224461), we get a palindrome (78586468587).

The spelling of 16442244126 in words is "sixteen billion, four hundred forty-two million, two hundred forty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 317 462 634 693 951 1386 1902 2219 2853 3487 4438 5706 6657 6974 10461 13314 19971 20922 24409 31383 37423 39942 48818 62766 73227 74846 112269 146454 219681 224538 261961 336807 411653 439362 523922 673614 785883 823306 1234959 1571766 2357649 2469918 2881571 3704877 4715298 5763142 7409754 8644713 11863091 17289426 23726182 25934139 35589273 51868278 71178546 83041637 106767819 130494001 166083274 213535638 249124911 260988002 391482003 498249822 747374733 782964006 913458007 1174446009 1494749466 1826916014 2348892018 2740374021 5480748042 8221122063 16442244126