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55728443232 = 25347211113353
BaseRepresentation
bin110011111001101011…
…001000111101100000
312022211210220020110000
4303321223020331200
51403112440140412
641333513540000
74012000644300
oct637153107540
9168753806400
1055728443232
11216a8287260
12a973414600
1353417b91c7
1429a9451600
1516b273b4dc
hexcf9ac8f60

55728443232 has 720 divisors, whose sum is σ = 210421510992. Its totient is φ = 14306181120.

The previous prime is 55728443219. The next prime is 55728443261. The reversal of 55728443232 is 23234482755.

55728443232 is a `hidden beast` number, since 5 + 572 + 8 + 4 + 43 + 2 + 32 = 666.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 157870768 + ... + 157871120.

Almost surely, 255728443232 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 55728443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105210755496).

55728443232 is an abundant number, since it is smaller than the sum of its proper divisors (154693067760).

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

55728443232 is a wasteful number, since it uses less digits than its factorization.

55728443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 489 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 55728443232 in words is "fifty-five billion, seven hundred twenty-eight million, four hundred forty-three thousand, two hundred thirty-two".