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159794350078441 = 13217247212172
BaseRepresentation
bin100100010101010100000101…
…011110010011100111101001
3202221210012011000002121102111
4210111110011132103213221
5131421032312110002231
61323504302213402321
745441521646610321
oct4425240536234751
9687705130077374
10159794350078441
1146a08448875421
1215b092706393a1
136b21708cbc300
142b66132d46281
15137193edb74b1
hex9155057939e9

159794350078441 has 81 divisors (see below), whose sum is σ = 187957293952719. Its totient is φ = 135760473858048.

The previous prime is 159794350078427. The next prime is 159794350078471. The reversal of 159794350078441 is 144870053497951.

The square root of 159794350078441 is 12640979.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 119970728203225 + 39823621875216 = 10953115^2 + 6310596^2 .

It is not a de Polignac number, because 159794350078441 - 25 = 159794350078409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (159794350078471) 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 80 ways as a sum of consecutive naturals, for example, 131301848265 + ... + 131301849481.

Almost surely, 2159794350078441 is an apocalyptic number.

159794350078441 is the 12640979-th square number.

159794350078441 is the 6320490-th centered octagonal number.

It is an amenable number.

159794350078441 is a deficient number, since it is larger than the sum of its proper divisors (28162943874278).

159794350078441 is an frugal number, since it uses more digits than its factorization.

159794350078441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 67.

The spelling of 159794350078441 in words is "one hundred fifty-nine trillion, seven hundred ninety-four billion, three hundred fifty million, seventy-eight thousand, four hundred forty-one".

Divisors: 1 13 17 47 169 221 289 611 799 1217 2209 2873 3757 7943 10387 13583 15821 20689 28717 37553 48841 57199 135031 176579 205673 268957 351713 373321 488189 638401 743587 972383 1481089 2295527 2688353 3496441 4572269 6346457 8299213 9666631 12640979 16530511 19254157 25178513 34948589 45702001 59439497 69611183 107889769 164332727 214896643 250304041 327320669 428034721 454331657 594126013 776934017 904945379 1183390111 2793656359 3271725601 4255168697 5564451373 7723638169 10100142221 11764289927 15384071443 20117631887 42532432813 55619335217 72337867849 131301848873 199992928759 261529214531 552921626569 723051357821 945528698689 3399879788903 9399667651673 12291873082957 159794350078441