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5770543968 = 2532723971283
BaseRepresentation
bin1010101111111001…
…11000001101100000
3112220011022000011200
411113330320031200
543304224401333
62352334441200
7262666546230
oct52774701540
915804260150
105770543968
1124a135a102
121150663200
1370c69a277
143ca55dcc0
1523b910c13
hex157f38360

5770543968 has 288 divisors, whose sum is σ = 19786830336. Its totient is φ = 1559568384.

The previous prime is 5770543943. The next prime is 5770543969. The reversal of 5770543968 is 8693450775.

5770543968 is a `hidden beast` number, since 5 + 7 + 7 + 0 + 543 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5770543969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4497055 + ... + 4498337.

It is an arithmetic number, because the mean of its divisors is an integer number (68704272).

Almost surely, 25770543968 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 5770543968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893415168).

5770543968 is an abundant number, since it is smaller than the sum of its proper divisors (14016286368).

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

5770543968 is a wasteful number, since it uses less digits than its factorization.

5770543968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 5770543968 is about 75964.0965719991. The cubic root of 5770543968 is about 1793.6550232820.

The spelling of 5770543968 in words is "five billion, seven hundred seventy million, five hundred forty-three thousand, nine hundred sixty-eight".