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5741604648 = 233413337109
BaseRepresentation
bin1010101100011100…
…11110111100101000
3112211010211201220000
411112032132330220
543224322322043
62345422303000
7262165556103
oct52616367450
915733751800
105741604648
112486a9360a
121142a27a60
137066a7000
143c678973a
152390e62d3
hex15639ef28

5741604648 has 320 divisors, whose sum is σ = 18056346000. Its totient is φ = 1703130624.

The previous prime is 5741604619. The next prime is 5741604679. The reversal of 5741604648 is 8464061475.

5741604648 is a `hidden beast` number, since 574 + 16 + 0 + 4 + 64 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104898564 + 5636706084 = 10242^2 + 75078^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52675218 + ... + 52675326.

Almost surely, 25741604648 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 5741604648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028173000).

5741604648 is an abundant number, since it is smaller than the sum of its proper divisors (12314741352).

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

5741604648 is a wasteful number, since it uses less digits than its factorization.

5741604648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5741604648 is about 75773.3769077240. The cubic root of 5741604648 is about 1790.6515992759.

The spelling of 5741604648 in words is "five billion, seven hundred forty-one million, six hundred four thousand, six hundred forty-eight".