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16442663474364 = 22317194679906641
BaseRepresentation
bin1110111101000101101100…
…0111011001010010111100
32011012220101111012020011120
43233101123013121102330
54123344033322134424
654545353314350540
73314641346325621
oct357213307312274
964186344166146
1016442663474364
11526a326965596
121a1684688b450
139236c894432a
1440bb872d4348
151d7aa1028a79
hexef45b1d94bc

16442663474364 has 96 divisors (see below), whose sum is σ = 42770292364800. Its totient is φ = 4885933731840.

The previous prime is 16442663474327. The next prime is 16442663474411. The reversal of 16442663474364 is 46347436624461.

It is a super-3 number, since 3×164426634743643 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 16442663474298 and 16442663474307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17682484 + ... + 18589124.

It is an arithmetic number, because the mean of its divisors is an integer number (445523878800).

Almost surely, 216442663474364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442663474364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385146182400).

16442663474364 is an abundant number, since it is smaller than the sum of its proper divisors (26327628890436).

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

16442663474364 is a wasteful number, since it uses less digits than its factorization.

16442663474364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911363 (or 911361 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 60.

The spelling of 16442663474364 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-three million, four hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 4679 9358 14037 18716 28074 56148 79543 88901 159086 177802 238629 266703 318172 355604 477258 533406 906641 954516 1066812 1511317 1813282 2719923 3022634 3626564 4533951 5439846 6045268 9067902 10879692 15412897 17226179 18135804 30825794 34452358 46238691 51678537 61651588 68904716 92477382 103357074 184954764 206714148 292845043 585690086 878535129 1171380172 1757070258 3514140516 4242173239 8484346478 12726519717 16968692956 25453039434 50906078868 72116945063 80601291541 144233890126 161202583082 216350835189 241803874623 288467780252 322405166164 432701670378 483607749246 865403340756 967215498492 1370221956197 2740443912394 4110665868591 5480887824788 8221331737182 16442663474364