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5774827968 = 2632721315739
BaseRepresentation
bin1010110000011010…
…01110000111000000
3112220110100122201100
411120031032013000
543311323443333
62353010334400
7263051141100
oct53015160700
915813318640
105774827968
1124a38157a8
121151b8a400
1371053a190
143cad57200
1523beaa213
hex15834e1c0

5774827968 has 252 divisors, whose sum is σ = 20737418520. Its totient is φ = 1522934784.

The previous prime is 5774827967. The next prime is 5774827979. The reversal of 5774827968 is 8697284775.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5774827967) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 359043 + ... + 374781.

Almost surely, 25774827968 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 5774827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368709260).

5774827968 is an abundant number, since it is smaller than the sum of its proper divisors (14962590552).

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

5774827968 is a wasteful number, since it uses less digits than its factorization.

5774827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15784 (or 15764 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 5774827968 is about 75992.2888719638. The cubic root of 5774827968 is about 1794.0987779454.

The spelling of 5774827968 in words is "five billion, seven hundred seventy-four million, eight hundred twenty-seven thousand, nine hundred sixty-eight".