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57706982928 = 243579472239
BaseRepresentation
bin110101101111100110…
…101010111000010000
312111221200212110200000
4311233212222320100
51421140441423203
642302112530000
74112014155510
oct655746527020
9174850773600
1057706982928
11225230a6431
12b225b50900
13559868b55a
142b16121840
15177b2b04a3
hexd6f9aae10

57706982928 has 240 divisors, whose sum is σ = 191694397440. Its totient is φ = 16462942848.

The previous prime is 57706982917. The next prime is 57706982933. The reversal of 57706982928 is 82928960775.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 25772433 + ... + 25774671.

It is an arithmetic number, because the mean of its divisors is an integer number (798726656).

Almost surely, 257706982928 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 57706982928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95847198720).

57706982928 is an abundant number, since it is smaller than the sum of its proper divisors (133987414512).

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

57706982928 is a wasteful number, since it uses less digits than its factorization.

57706982928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 57706982928 in words is "fifty-seven billion, seven hundred six million, nine hundred eighty-two thousand, nine hundred twenty-eight".