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10024444413 = 34294267537
BaseRepresentation
bin10010101011000000…
…01110000111111101
3221212121202112120000
421111200032013331
5131012224210123
64334414344513
7503262241314
oct112540160775
927777675500
1010024444413
1142845a0505
121b391bb139
13c39a98819
146b14c727b
153da0dab43
hex25580e1fd

10024444413 has 20 divisors (see below), whose sum is σ = 15491162940. Its totient is φ = 6452514432.

The previous prime is 10024444393. The next prime is 10024444421. The reversal of 10024444413 is 31444442001.

10024444413 is a `hidden beast` number, since 1 + 0 + 0 + 244 + 4 + 4 + 413 = 666.

10024444413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7903565604 + 2120878809 = 88902^2 + 46053^2 .

It is not a de Polignac number, because 10024444413 - 210 = 10024443389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004444413) 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 19 ways as a sum of consecutive naturals, for example, 2131420 + ... + 2136117.

It is an arithmetic number, because the mean of its divisors is an integer number (774558147).

Almost surely, 210024444413 is an apocalyptic number.

It is an amenable number.

10024444413 is a deficient number, since it is larger than the sum of its proper divisors (5466718527).

10024444413 is an equidigital number, since it uses as much as digits as its factorization.

10024444413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267578 (or 4267569 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10024444413 its reverse (31444442001), we get a palindrome (41468886414).

The spelling of 10024444413 in words is "ten billion, twenty-four million, four hundred forty-four thousand, four hundred thirteen".

Divisors: 1 3 9 27 29 81 87 261 783 2349 4267537 12802611 38407833 115223499 123758573 345670497 371275719 1113827157 3341481471 10024444413