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26923378666896 = 24332915233141079
BaseRepresentation
bin1100001111100100101100…
…11010111110110110010000
310112022211221112212110201000
412013302112122332312100
512012103034414320041
6133132232430342000
75446102264504245
oct607622632766620
9115284845773630
1026923378666896
118640160403798
123029b2105a900
131203b2c77122a
146911543315cc
1531a513a07bb6
hex187c966bed90

26923378666896 has 160 divisors (see below), whose sum is σ = 79950713184000. Its totient is φ = 8664365187072.

The previous prime is 26923378666843. The next prime is 26923378666897. The reversal of 26923378666896 is 69866687332962.

It is not an unprimeable number, because it can be changed into a prime (26923378666897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190768485 + ... + 190909563.

It is an arithmetic number, because the mean of its divisors is an integer number (499691957400).

Almost surely, 226923378666896 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 26923378666896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39975356592000).

26923378666896 is an abundant number, since it is smaller than the sum of its proper divisors (53027334517104).

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

26923378666896 is a wasteful number, since it uses less digits than its factorization.

26923378666896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156358 (or 156346 counting only the distinct ones).

The product of its digits is 10158317568, while the sum is 81.

The spelling of 26923378666896 in words is "twenty-six trillion, nine hundred twenty-three billion, three hundred seventy-eight million, six hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 15233 30466 45699 60932 91398 121864 137097 141079 182796 243728 274194 282158 365592 411291 423237 441757 548388 564316 731184 822582 846474 883514 1096776 1128632 1269711 1325271 1645164 1692948 1767028 2193552 2257264 2539422 2650542 3290328 3385896 3534056 3809133 3975813 4091291 5078844 5301084 6580656 6771792 7068112 7618266 7951626 8182582 10157688 10602168 11927439 12273873 15236532 15903252 16365164 20315376 21204336 23854878 24547746 30473064 31806504 32730328 36821619 47709756 49095492 60946128 63613008 65460656 73643238 95419512 98190984 110464857 147286476 190839024 196381968 220929714 294572952 441859428 589145904 883718856 1767437712 2149056407 4298112814 6447169221 8596225628 12894338442 17192451256 19341507663 25788676884 34384902512 38683015326 51577353768 58024522989 62322635803 77366030652 103154707536 116049045978 124645271606 154732061304 186967907409 232098091956 249290543212 309464122608 373935814818 464196183912 498581086424 560903722227 747871629636 928392367824 997162172848 1121807444454 1495743259272 1682711166681 2243614888908 2991486518544 3365422333362 4487229777816 6730844666724 8974459555632 13461689333448 26923378666896