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10689085441 = 417922914411
BaseRepresentation
bin10011111010001111…
…01000000000000001
31000120221101210122101
421331013220000001
5133342401213231
64524400110401
7525612504256
oct117507500001
930527353571
1010689085441
11459578a111
1220a3905401
1310146a7938
1473589942d
15428626661
hex27d1e8001

10689085441 has 16 divisors (see below), whose sum is σ = 11137593600. Its totient is φ = 10250697600.

The previous prime is 10689085439. The next prime is 10689085447. The reversal of 10689085441 is 14458098601.

It is a cyclic number.

It is not a de Polignac number, because 10689085441 - 21 = 10689085439 is a prime.

It is a super-2 number, since 2×106890854412 (a number of 21 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 = 10689085391 and 10689085400.

It is not an unprimeable number, because it can be changed into a prime (10689085447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734526 + ... + 748936.

It is an arithmetic number, because the mean of its divisors is an integer number (696099600).

Almost surely, 210689085441 is an apocalyptic number.

It is an amenable number.

10689085441 is a deficient number, since it is larger than the sum of its proper divisors (448508159).

10689085441 is a wasteful number, since it uses less digits than its factorization.

10689085441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760.

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 10689085441 in words is "ten billion, six hundred eighty-nine million, eighty-five thousand, four hundred forty-one".

Divisors: 1 41 79 229 3239 9389 14411 18091 590851 741731 1138469 3300119 46677229 135304879 260709401 10689085441