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5741362944 = 2835176189
BaseRepresentation
bin1010101100011011…
…00011111100000000
3112211010101110100000
411112031203330000
543224242103234
62345413200000
7262163531322
oct52615437400
915733343300
105741362944
112486938a59
121142930000
13706620ca5
143c6725612
15239099899
hex156363f00

5741362944 has 432 divisors, whose sum is σ = 18682241760. Its totient is φ = 1751777280.

The previous prime is 5741362933. The next prime is 5741362993. The reversal of 5741362944 is 4492631475.

5741362944 is a `hidden beast` number, since 5 + 7 + 4 + 13 + 629 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 5741362944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64509652 + ... + 64509740.

It is an arithmetic number, because the mean of its divisors is an integer number (43245930).

Almost surely, 25741362944 is an apocalyptic number.

5741362944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5741362944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341120880).

5741362944 is an abundant number, since it is smaller than the sum of its proper divisors (12940878816).

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

5741362944 is an equidigital number, since it uses as much as digits as its factorization.

5741362944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 5741362944 is about 75771.7819771978. The cubic root of 5741362944 is about 1790.6264719376.

The spelling of 5741362944 in words is "five billion, seven hundred forty-one million, three hundred sixty-two thousand, nine hundred forty-four".