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16117547441808 = 243718389640223
BaseRepresentation
bin1110101010001010100010…
…1100001001111010010000
32010001211012121000112212110
43222202220230021322100
54103032214121114213
654140144333425320
73252311564543451
oct352425054117220
963054177015773
1016117547441808
11515446039029a
12198383203b240
138cbb555440c7
143da144643128
151ce3c38c75c3
hexea8a8b09e90

16117547441808 has 160 divisors (see below), whose sum is σ = 43212354232320. Its totient is φ = 5174222986240.

The previous prime is 16117547441791. The next prime is 16117547441869. The reversal of 16117547441808 is 80814474571161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24854785 + ... + 25495007.

It is an arithmetic number, because the mean of its divisors is an integer number (270077213952).

Almost surely, 216117547441808 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 16117547441808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21606177116160).

16117547441808 is an abundant number, since it is smaller than the sum of its proper divisors (27094806790512).

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

16117547441808 is a wasteful number, since it uses less digits than its factorization.

16117547441808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640477 (or 640471 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 57.

The spelling of 16117547441808 in words is "sixteen trillion, one hundred seventeen billion, five hundred forty-seven million, four hundred forty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 83 89 142 166 178 213 249 267 284 332 356 426 498 534 568 664 712 852 996 1068 1136 1328 1424 1704 1992 2136 3408 3984 4272 5893 6319 7387 11786 12638 14774 17679 18957 22161 23572 25276 29548 35358 37914 44322 47144 50552 59096 70716 75828 88644 94288 101104 118192 141432 151656 177288 282864 303312 354576 524477 640223 1048954 1280446 1573431 1920669 2097908 2560892 3146862 3841338 4195816 5121784 6293724 7682676 8391632 10243568 12587448 15365352 25174896 30730704 45455833 53138509 56979847 90911666 106277018 113959694 136367499 159415527 170939541 181823332 212554036 227919388 272734998 318831054 341879082 363646664 425108072 455838776 545469996 637662108 683758164 727293328 850216144 911677552 1090939992 1275324216 1367516328 2181879984 2550648432 2735032656 3772834139 4045569137 4729327301 7545668278 8091138274 9458654602 11318502417 12136707411 14187981903 15091336556 16182276548 18917309204 22637004834 24273414822 28375963806 30182673112 32364553096 37834618408 45274009668 48546829644 56751927612 60365346224 64729106192 75669236816 90548019336 97093659288 113503855224 181096038672 194187318576 227007710448 335782238371 671564476742 1007346715113 1343128953484 2014693430226 2686257906968 4029386860452 5372515813936 8058773720904 16117547441808