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16991669227140 = 22325997361726177
BaseRepresentation
bin1111011101000010111001…
…1010001000111010000100
32020011101110122101010020200
43313100232122020322010
54211342414310232030
6100045510505130500
73402415255250136
oct367205632107204
966141418333220
1016991669227140
115461143341413
121aa5123789a30
139633cc85a24a
1442a588b97056
151e6ed40a9d60
hexf742e688e84

16991669227140 has 144 divisors (see below), whose sum is σ = 51609328675632. Its totient is φ = 4525142704128.

The previous prime is 16991669227069. The next prime is 16991669227147. The reversal of 16991669227140 is 4172296619961.

16991669227140 is a `hidden beast` number, since 169 + 9 + 166 + 9 + 2 + 271 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75689913924 + 16915979313216 = 275118^2 + 4112904^2 .

It is not an unprimeable number, because it can be changed into a prime (16991669227147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649093732 + ... + 649119908.

It is an arithmetic number, because the mean of its divisors is an integer number (358398115803).

Almost surely, 216991669227140 is an apocalyptic number.

16991669227140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16991669227140 is an abundant number, since it is smaller than the sum of its proper divisors (34617659448492).

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

16991669227140 is a wasteful number, since it uses less digits than its factorization.

16991669227140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30806 (or 30801 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 16991669227140 in words is "sixteen trillion, nine hundred ninety-one billion, six hundred sixty-nine million, two hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 997 1994 2991 3617 3988 4985 5982 7234 8973 9970 10851 11964 14468 14955 17946 18085 19940 21702 26177 29910 32553 35892 36170 43404 44865 52354 54255 59820 65106 72340 78531 89730 104708 108510 130212 130885 157062 162765 179460 217020 235593 261770 314124 325530 392655 471186 523540 651060 785310 942372 1177965 1570620 2355930 3606149 4711860 7212298 10818447 14424596 18030745 21636894 26098469 32455341 36061490 43273788 52196938 54092235 64910682 72122980 78295407 94682209 104393876 108184470 129821364 130492345 156590814 162276705 189364418 216368940 234886221 260984690 284046627 313181628 324553410 378728836 391477035 469772442 473411045 521969380 568093254 649106820 782954070 852139881 939544884 946822090 1136186508 1174431105 1420233135 1565908140 1704279762 1893644180 2348862210 2840466270 3408559524 4260699405 4697724420 5680932540 8521398810 17042797620 94398162373 188796324746 283194487119 377592649492 471990811865 566388974238 849583461357 943981623730 1132777948476 1415972435595 1699166922714 1887963247460 2831944871190 3398333845428 4247917306785 5663889742380 8495834613570 16991669227140