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24497268057 = 329972730109
BaseRepresentation
bin10110110100001001…
…101010010101011001
32100020020221011020100
4112310021222111121
5400132300034212
615130501250013
71525031225403
oct266411522531
970206834210
1024497268057
11a431084089
1248b8103909
132405335ab2
1412856bdb73
159859b9bdc
hex5b426a559

24497268057 has 12 divisors (see below), whose sum is σ = 35420447140. Its totient is φ = 16315125408.

The previous prime is 24497268041. The next prime is 24497268077. The reversal of 24497268057 is 75086279442.

24497268057 is a `hidden beast` number, since 2 + 4 + 497 + 26 + 80 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21076070976 + 3421197081 = 145176^2 + 58491^2 .

It is not a de Polignac number, because 24497268057 - 24 = 24497268041 is a prime.

It is a super-2 number, since 2×244972680572 (a number of 22 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 = 24497267994 and 24497268012.

It is not an unprimeable number, because it can be changed into a prime (24497268077) 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 11 ways as a sum of consecutive naturals, for example, 1356082 + ... + 1374027.

Almost surely, 224497268057 is an apocalyptic number.

It is an amenable number.

24497268057 is a deficient number, since it is larger than the sum of its proper divisors (10923179083).

24497268057 is a wasteful number, since it uses less digits than its factorization.

24497268057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731112 (or 2731109 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 24497268057 in words is "twenty-four billion, four hundred ninety-seven million, two hundred sixty-eight thousand, fifty-seven".

Divisors: 1 3 9 997 2991 8973 2730109 8190327 24570981 2721918673 8165756019 24497268057