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16442621503712 = 2537611303174721
BaseRepresentation
bin1110111101000101100010…
…0111010010100011100000
32011012220021120012220020222
43233101120213102203200
54123343442101104322
654545345215022212
73314640326512325
oct357213047224340
964186246186228
1016442621503712
11526a3051a93a8
121a1683480a968
139236c003a821
1440bb818cab4c
151d7a9c4d7e42
hexef4589d28e0

16442621503712 has 96 divisors (see below), whose sum is σ = 33817462668864. Its totient is φ = 7861896806400.

The previous prime is 16442621503673. The next prime is 16442621503729. The reversal of 16442621503712 is 21730512624461.

It is a super-3 number, since 3×164426215037123 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94020512 + ... + 94195232.

It is an arithmetic number, because the mean of its divisors is an integer number (352265236134).

Almost surely, 216442621503712 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 16442621503712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16908731334432).

16442621503712 is an abundant number, since it is smaller than the sum of its proper divisors (17374841165152).

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

16442621503712 is a wasteful number, since it uses less digits than its factorization.

16442621503712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176132 (or 176124 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 16442621503712 in words is "sixteen trillion, four hundred forty-two billion, six hundred twenty-one million, five hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 244 296 488 592 976 1184 1303 1952 2257 2606 4514 5212 9028 10424 18056 20848 36112 41696 48211 72224 79483 96422 158966 174721 192844 317932 349442 385688 635864 698884 771376 1271728 1397768 1542752 2543456 2795536 2940871 5591072 5881742 6464677 10657981 11763484 12929354 21315962 23526968 25858708 42631924 47053936 51717416 85263848 94107872 103434832 170527696 206869664 227661463 341055392 394345297 455322926 788690594 910645852 1577381188 1821291704 3154762376 3642583408 6309524752 7285166816 8423474131 12619049504 13887349243 16846948262 27774698486 33693896524 55549396972 67387793048 111098793944 134775586096 222197587888 269551172192 444395175776 513831921991 1027663843982 2055327687964 4110655375928 8221310751856 16442621503712