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5741098560 = 263551743101
BaseRepresentation
bin1010101100011001…
…00011011001000000
3112211002220000200000
411112030203121000
543224210123220
62345403400000
7262161350451
oct52614433100
915732800600
105741098560
11248677835a
121142823000
1370655a852
143c6697128
15239046390
hex156323640

5741098560 has 672 divisors, whose sum is σ = 22406896512. Its totient is φ = 1393459200.

The previous prime is 5741098523. The next prime is 5741098567. The reversal of 5741098560 is 658901475.

5741098560 is a `hidden beast` number, since 5 + 74 + 10 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5741098567) 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 95 ways as a sum of consecutive naturals, for example, 56842510 + ... + 56842610.

It is an arithmetic number, because the mean of its divisors is an integer number (33343596).

Almost surely, 25741098560 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 5741098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203448256).

5741098560 is an abundant number, since it is smaller than the sum of its proper divisors (16665797952).

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

5741098560 is a wasteful number, since it uses less digits than its factorization.

5741098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5741098560 is about 75770.0373498654. The cubic root of 5741098560 is about 1790.5989859985.

The spelling of 5741098560 in words is "five billion, seven hundred forty-one million, ninety-eight thousand, five hundred sixty".