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5741399040 = 210351328753
BaseRepresentation
bin1010101100011011…
…01100110000000000
3112211010110021211220
411112031230300000
543224244232130
62345414035040
7262164041466
oct52615546000
915733407756
105741399040
112486963093
121142948a80
13706634550
143c6734836
152390a5410
hex15636cc00

5741399040 has 176 divisors, whose sum is σ = 19776771168. Its totient is φ = 1413218304.

The previous prime is 5741399021. The next prime is 5741399063. The reversal of 5741399040 is 409931475.

It is a junction number, because it is equal to n+sod(n) for n = 5741398983 and 5741399001.

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 15 ways as a sum of consecutive naturals, for example, 185304 + ... + 214056.

It is an arithmetic number, because the mean of its divisors is an integer number (112368018).

Almost surely, 25741399040 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 5741399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9888385584).

5741399040 is an abundant number, since it is smaller than the sum of its proper divisors (14035372128).

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

5741399040 is a wasteful number, since it uses less digits than its factorization.

5741399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28794 (or 28776 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 5741399040 is about 75772.0201657578. The cubic root of 5741399040 is about 1790.6302244913.

The spelling of 5741399040 in words is "five billion, seven hundred forty-one million, three hundred ninety-nine thousand, forty".