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10266541441 = 1323377431249
BaseRepresentation
bin10011000111110111…
…01111110110000001
3222111111022100020121
421203323233312001
5132011213311231
64414423340241
7512262106462
oct114373576601
928444270217
1010266541441
1143992165a2
121ba62b1681
13c77ca1cc0
146d5706d69
154014ad311
hex263eefd81

10266541441 has 32 divisors (see below), whose sum is σ = 11874240000. Its totient is φ = 8800856064.

The previous prime is 10266541427. The next prime is 10266541457. The reversal of 10266541441 is 14414566201.

It is not a de Polignac number, because 10266541441 - 29 = 10266540929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10266541397 and 10266541406.

It is not an unprimeable number, because it can be changed into a prime (10266544441) 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, 8219185 + ... + 8220433.

It is an arithmetic number, because the mean of its divisors is an integer number (371070000).

Almost surely, 210266541441 is an apocalyptic number.

It is an amenable number.

10266541441 is a deficient number, since it is larger than the sum of its proper divisors (1607698559).

10266541441 is a wasteful number, since it uses less digits than its factorization.

10266541441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 10266541441 in words is "ten billion, two hundred sixty-six million, five hundred forty-one thousand, four hundred forty-one".

Divisors: 1 13 23 37 299 481 743 851 1249 9659 11063 16237 17089 27491 28727 46213 222157 357383 373451 600769 632293 928007 1062899 8219809 12064091 13817687 21344161 34336259 277474093 446371367 789733957 10266541441