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57531628648 = 23132287724181
BaseRepresentation
bin110101100101001001…
…101111110001101000
312111111110220112211001
4311211021233301220
51420311044104043
642232450244344
74104454526524
oct654511576150
9174443815731
1057531628648
112244311713a
12b1972866b4
13556b253120
142adab16d84
15176abc374d
hexd6526fc68

57531628648 has 32 divisors (see below), whose sum is σ = 116179517160. Its totient is φ = 26550800640.

The previous prime is 57531628643. The next prime is 57531628717. The reversal of 57531628648 is 84682613575.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54222848164 + 3308780484 = 232858^2 + 57522^2 .

It is not an unprimeable number, because it can be changed into a prime (57531628643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2367118 + ... + 2391298.

Almost surely, 257531628648 is an apocalyptic number.

It is an amenable number.

57531628648 is an abundant number, since it is smaller than the sum of its proper divisors (58647888512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57531628648 is a wasteful number, since it uses less digits than its factorization.

57531628648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47077 (or 47073 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 57531628648 in words is "fifty-seven billion, five hundred thirty-one million, six hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 22877 24181 45754 48362 91508 96724 183016 193448 297401 314353 594802 628706 1189604 1257412 2379208 2514824 553188737 1106377474 2212754948 4425509896 7191453581 14382907162 28765814324 57531628648