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26457312042 = 2347137170299
BaseRepresentation
bin11000101000111110…
…101000101100101010
32112021212002201010000
4120220332220230222
5413141032441132
620053200003430
71624431304350
oct305076505452
975255081100
1026457312042
1110247510147
125164600576
132658430635
1413cdb377d0
15a4cad887c
hex628fa8b2a

26457312042 has 80 divisors (see below), whose sum is σ = 68248065600. Its totient is φ = 7504011072.

The previous prime is 26457312001. The next prime is 26457312043. The reversal of 26457312042 is 24021375462.

26457312042 is a `hidden beast` number, since 2 + 64 + 573 + 1 + 20 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26457311988 and 26457312006.

It is not an unprimeable number, because it can be changed into a prime (26457312043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70209 + ... + 240507.

It is an arithmetic number, because the mean of its divisors is an integer number (853100820).

Almost surely, 226457312042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26457312042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34124032800).

26457312042 is an abundant number, since it is smaller than the sum of its proper divisors (41790753558).

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

26457312042 is a wasteful number, since it uses less digits than its factorization.

26457312042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170457 (or 170448 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 26457312042 in words is "twenty-six billion, four hundred fifty-seven million, three hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 137 162 189 274 378 411 567 822 959 1134 1233 1918 2466 2877 3699 5754 7398 8631 11097 17262 22194 25893 51786 77679 155358 170299 340598 510897 1021794 1192093 1532691 2384186 3065382 3576279 4598073 7152558 9196146 10728837 13794219 21457674 23330963 27588438 32186511 46661926 64373022 69992889 96559533 139985778 163316741 193119066 209978667 326633482 419957334 489950223 629936001 979900446 1259872002 1469850669 1889808003 2939701338 3779616006 4409552007 8819104014 13228656021 26457312042