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57328247040 = 28351923127269
BaseRepresentation
bin110101011001000001…
…111010000100000000
312110222022012200200220
4311121001322010000
51414402012401130
642200343143040
74066435026321
oct653101720400
9173868180626
1057328247040
1122349334569
12b13b144a80
13553808388c
142abbad4448
151757dec410
hexd5907a100

57328247040 has 576 divisors, whose sum is σ = 203445043200. Its totient is φ = 13693059072.

The previous prime is 57328247033. The next prime is 57328247077. The reversal of 57328247040 is 4074282375.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57328246983 and 57328247001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213116026 + ... + 213116294.

It is an arithmetic number, because the mean of its divisors is an integer number (353203200).

Almost surely, 257328247040 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 57328247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101722521600).

57328247040 is an abundant number, since it is smaller than the sum of its proper divisors (146116796160).

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

57328247040 is a wasteful number, since it uses less digits than its factorization.

57328247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 57328247040 in words is "fifty-seven billion, three hundred twenty-eight million, two hundred forty-seven thousand, forty".