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5746866048 = 27327111737103
BaseRepresentation
bin1010101101000101…
…00011011110000000
3112211111202001011200
411112202203132000
543232144203143
62350131141200
7262261361340
oct52642433600
915744661150
105746866048
112489a57580
121144744800
137077c9a71
143c7358d20
152397d51d3
hex1568a3780

5746866048 has 768 divisors, whose sum is σ = 22638320640. Its totient is φ = 1353646080.

The previous prime is 5746866017. The next prime is 5746866053. The reversal of 5746866048 is 8406686475.

5746866048 is a `hidden beast` number, since 574 + 6 + 8 + 6 + 60 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5746865985 and 5746866003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55794765 + ... + 55794867.

It is an arithmetic number, because the mean of its divisors is an integer number (29476980).

Almost surely, 25746866048 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 5746866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11319160320).

5746866048 is an abundant number, since it is smaller than the sum of its proper divisors (16891454592).

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

5746866048 is a wasteful number, since it uses less digits than its factorization.

5746866048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 5746866048 is about 75808.0869564719. The cubic root of 5746866048 is about 1791.1983951966.

The spelling of 5746866048 in words is "five billion, seven hundred forty-six million, eight hundred sixty-six thousand, forty-eight".