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16442044885392 = 2437792103129453
BaseRepresentation
bin1110111101000011011000…
…1111101010100110010000
32011012211210101012122121220
43233100312033222212100
54123341301442313032
654545212100045040
73314620125365340
oct357206617524620
964184711178556
1016442044885392
11526a039770535
121a166b3693780
1392362a73a659
1440bb290acd20
151d7a66a8812c
hexef4363ea990

16442044885392 has 160 divisors (see below), whose sum is σ = 49161657262080. Its totient is φ = 4637884193280.

The previous prime is 16442044885391. The next prime is 16442044885433. The reversal of 16442044885392 is 29358844024461.

It is a super-3 number, since 3×164420448853923 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442044885391) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 558232138 + ... + 558261590.

It is an arithmetic number, because the mean of its divisors is an integer number (307260357888).

Almost surely, 216442044885392 is an apocalyptic number.

16442044885392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442044885392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24580828631040).

16442044885392 is an abundant number, since it is smaller than the sum of its proper divisors (32719612376688).

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

16442044885392 is a wasteful number, since it uses less digits than its factorization.

16442044885392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50581 (or 50575 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 16442044885392 in words is "sixteen trillion, four hundred forty-two billion, forty-four million, eight hundred eighty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 6636 8848 13272 21031 26544 29453 42062 58906 63093 84124 88359 117812 126186 147217 168248 176718 206171 235624 252372 294434 336496 353436 412342 441651 471248 504744 588868 618513 706872 824684 883302 1009488 1177736 1237026 1413744 1649368 1661449 1766604 2326787 2355472 2474052 3298736 3322898 3533208 4653574 4948104 4984347 6645796 6980361 7066416 9307148 9896208 9968694 11630143 13291592 13960722 16287509 18614296 19937388 23260286 26583184 27921444 32575018 34890429 37228592 39874776 46520572 48862527 55842888 65150036 69780858 79749552 93041144 97725054 111685776 130300072 139561716 186082288 195450108 260600144 279123432 390900216 558246864 619426043 781800432 1238852086 1858278129 2477704172 3716556258 4335982301 4955408344 7433112516 8671964602 9910816688 13007946903 14866225032 17343929204 26015893806 29732450064 34687858408 48934657397 52031787612 69375716816 97869314794 104063575224 146803972191 195738629588 208127150448 293607944382 342542601779 391477259176 587215888764 685085203558 782954518352 1027627805337 1174431777528 1370170407116 2055255610674 2348863555056 2740340814232 4110511221348 5480681628464 8221022442696 16442044885392