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5741204805 = 335723127997
BaseRepresentation
bin1010101100011001…
…11101010101000101
3112211010002102102000
411112030331111011
543224222023210
62345405535513
7262162302300
oct52614752505
915733072360
105741204805
112486840166
121142874599
1370659700b
143c66c3b37
15239067ac0
hex15633d545

5741204805 has 96 divisors (see below), whose sum is σ = 12256404480. Its totient is φ = 2539797120.

The previous prime is 5741204803. The next prime is 5741204839. The reversal of 5741204805 is 5084021475.

5741204805 is a `hidden beast` number, since 57 + 4 + 120 + 480 + 5 = 666.

It is not a de Polignac number, because 5741204805 - 21 = 5741204803 is a prime.

It is a super-2 number, since 2×57412048052 = 65922865225910176050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5741204805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741204803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191067 + ... + 219063.

It is an arithmetic number, because the mean of its divisors is an integer number (127670880).

Almost surely, 25741204805 is an apocalyptic number.

It is an amenable number.

5741204805 is an abundant number, since it is smaller than the sum of its proper divisors (6515199675).

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

5741204805 is a wasteful number, since it uses less digits than its factorization.

5741204805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28056 (or 28043 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5741204805 is about 75770.7384482955. The cubic root of 5741204805 is about 1790.6100315626.

The spelling of 5741204805 in words is "five billion, seven hundred forty-one million, two hundred four thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 49 63 93 105 135 147 155 189 217 245 279 315 441 465 651 735 837 945 1085 1323 1395 1519 1953 2205 3255 4185 4557 5859 6615 7595 9765 13671 22785 27997 29295 41013 68355 83991 139985 195979 205065 251973 419955 587937 755919 867907 979895 1259865 1371853 1763811 2603721 2939685 3779595 4115559 4339535 5291433 6075349 6859265 7811163 8819055 12346677 13018605 18226047 20577795 23433489 26457165 30376745 37040031 39055815 42527443 54678141 61733385 91130235 117167445 127582329 164034423 185200155 212637215 273390705 382746987 637911645 820172115 1148240961 1913734935 5741204805