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26106442836796 = 22731211467305231
BaseRepresentation
bin1011110111110011000010…
…10000000110101100111100
310102102202021212222102100201
411323321201100012230330
511410211443331234141
6131305045000333244
75333061663513250
oct573714120065474
9112382255872321
1026106442836796
11835575342a1a3
122b1772aa74224
131174a99bab41a
146637b6a32260
1530414d9b7031
hex17be61406b3c

26106442836796 has 96 divisors (see below), whose sum is σ = 54268745416704. Its totient is φ = 10753130808000.

The previous prime is 26106442836769. The next prime is 26106442836839. The reversal of 26106442836796 is 69763824460162.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85377501 + ... + 85682731.

It is an arithmetic number, because the mean of its divisors is an integer number (565299431424).

Almost surely, 226106442836796 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 26106442836796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27134372708352).

26106442836796 is an abundant number, since it is smaller than the sum of its proper divisors (28162302579908).

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

26106442836796 is a wasteful number, since it uses less digits than its factorization.

26106442836796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305951 (or 305949 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 64.

The spelling of 26106442836796 in words is "twenty-six trillion, one hundred six billion, four hundred forty-two million, eight hundred thirty-six thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 62 124 211 217 422 434 467 844 868 934 1477 1868 2954 3269 5908 6538 6541 13076 13082 14477 26164 28954 45787 57908 91574 98537 101339 183148 197074 202678 305231 394148 405356 610462 689759 1220924 1379518 2136617 2759036 3054647 4273234 6109294 8546468 9462161 12218588 18924322 21382529 37848644 42765058 64403741 66235127 85530116 128807482 132470254 142542877 257614964 264940508 285085754 450826187 570171508 901652374 997800139 1803304748 1995600278 1996515971 3991200556 3993031942 4418829187 7986063884 8837658374 13975611797 17675316748 27951223594 30076547047 30931804309 55902447188 60153094094 61863608618 120306188188 123727217236 210535829329 421071658658 842143317316 932372958457 1864745916914 3729491833828 6526610709199 13053221418398 26106442836796