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10024443009 = 337149355969
BaseRepresentation
bin10010101011000000…
…01101110010000001
3221212121202110122000
421111200031302001
5131012224134014
64334414334213
7503262234240
oct112540156201
927777673560
1010024443009
11428459a449
121b391ba369
13c39a97ca9
146b14c6957
153da0da509
hex25580dc81

10024443009 has 32 divisors (see below), whose sum is σ = 17086560000. Its totient is φ = 5689792512.

The previous prime is 10024442971. The next prime is 10024443019. The reversal of 10024443009 is 90034442001.

It is not a de Polignac number, because 10024443009 - 27 = 10024442881 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10024443019) 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 31 ways as a sum of consecutive naturals, for example, 149824 + ... + 206145.

It is an arithmetic number, because the mean of its divisors is an integer number (533955000).

Almost surely, 210024443009 is an apocalyptic number.

It is an amenable number.

10024443009 is a deficient number, since it is larger than the sum of its proper divisors (7062116991).

10024443009 is a wasteful number, since it uses less digits than its factorization.

10024443009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356134 (or 356128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10024443009 in words is "ten billion, twenty-four million, four hundred forty-three thousand, nine".

Divisors: 1 3 7 9 21 27 63 149 189 447 1043 1341 3129 4023 9387 28161 355969 1067907 2491783 3203721 7475349 9611163 22426047 53039381 67278141 159118143 371275667 477354429 1113827001 1432063287 3341481003 10024443009