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10094421841 = 723124632
BaseRepresentation
bin10010110011010110…
…01010011101010001
3222001111102202112121
421121223022131101
5131133132444331
64345354254241
7505102112200
oct113153123521
928044382477
1010094421841
114310046599
121b58727381
13c4b429c9a
146ba901237
153e130ec11
hex259aca751

10094421841 has 27 divisors (see below), whose sum is σ = 12159762633. Its totient is φ = 8355168360.

The previous prime is 10094421839. The next prime is 10094421847. The reversal of 10094421841 is 14812449001.

The square root of 10094421841 is 100471.

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

10094421841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10094421841 - 21 = 10094421839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10094421797 and 10094421806.

It is not an unprimeable number, because it can be changed into a prime (10094421847) 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 26 ways as a sum of consecutive naturals, for example, 21801976 + ... + 21802438.

It is an arithmetic number, because the mean of its divisors is an integer number (450361579).

Almost surely, 210094421841 is an apocalyptic number.

10094421841 is the 100471-st square number.

10094421841 is the 50236-th centered octagonal number.

It is an amenable number.

10094421841 is a deficient number, since it is larger than the sum of its proper divisors (2065340792).

10094421841 is an frugal number, since it uses more digits than its factorization.

10094421841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Multiplying 10094421841 by its product of nonzero digits (9216), we get a square (93030191686656 = 96452162).

The spelling of 10094421841 in words is "ten billion, ninety-four million, four hundred twenty-one thousand, eight hundred forty-one".

Divisors: 1 7 31 49 217 463 961 1519 3241 6727 14353 22687 47089 100471 214369 444943 703297 1500583 3114601 6645439 10504081 21802207 46518073 206008609 325626511 1442060263 10094421841