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896028678440 = 235721753895701
BaseRepresentation
bin11010000100111110111…
…10001001100100101000
310011122210210001001012122
431002133132021210220
5104140031320202230
61523344020130412
7121510266046400
oct15023736114450
93148723031178
10896028678440
11316004914165
121257a6236a08
1366658a98cac
1431521bb9800
1518493a6dbe5
hexd09f789928

896028678440 has 384 divisors, whose sum is σ = 2558900224800. Its totient is φ = 280446566400.

The previous prime is 896028678437. The next prime is 896028678463. The reversal of 896028678440 is 44876820698.

It can be written as a sum of positive squares in 16 ways, for example, as 294625326436 + 601403352004 = 542794^2 + 775502^2 .

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 157167590 + ... + 157173290.

Almost surely, 2896028678440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896028678440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279450112400).

896028678440 is an abundant number, since it is smaller than the sum of its proper divisors (1662871546360).

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

896028678440 is a wasteful number, since it uses less digits than its factorization.

896028678440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 62.

The spelling of 896028678440 in words is "eight hundred ninety-six billion, twenty-eight million, six hundred seventy-eight thousand, four hundred forty".