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26429330041 = 1727321312
BaseRepresentation
bin11000100111010011…
…111001001001111001
32112012220110002000121
4120213103321021321
5413111402030131
620050320133241
71623641412232
oct304723711171
975186402017
1026429330041
1110232738924
125157167221
1326526b403a
1413ca132089
15a4a40c911
hex6274f9279

26429330041 has 27 divisors (see below), whose sum is σ = 28684262253. Its totient is φ = 24346632960.

The previous prime is 26429330017. The next prime is 26429330063. The reversal of 26429330041 is 14003392462.

It is a happy number.

The square root of 26429330041 is 162571.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3337488441 + 23091841600 = 57771^2 + 151960^2 .

It is not a de Polignac number, because 26429330041 - 25 = 26429330009 is a prime.

It is a super-2 number, since 2×264293300412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26429329979 and 26429330006.

It is not an unprimeable number, because it can be changed into a prime (26429330141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201750546 + ... + 201750676.

Almost surely, 226429330041 is an apocalyptic number.

26429330041 is the 162571-st square number.

26429330041 is the 81286-th centered octagonal number.

It is an amenable number.

26429330041 is a deficient number, since it is larger than the sum of its proper divisors (2254932212).

26429330041 is an frugal number, since it uses more digits than its factorization.

26429330041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 26429330041 in words is "twenty-six billion, four hundred twenty-nine million, three hundred thirty thousand, forty-one".

Divisors: 1 17 73 131 289 1241 2227 5329 9563 17161 21097 37859 90593 162571 291737 698099 1252753 1540081 2763707 4959529 11867683 21296801 91450969 201750611 362045617 1554666473 26429330041