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5703648804 = 2233721975471
BaseRepresentation
bin1010100111111011…
…01100011000100100
3112201111102101021000
411103331230120210
543140113230204
62341544553300
7261225133500
oct52375543044
915644371230
105703648804
112467619847
121132182830
136cb877a29
143c1709300
15235aea039
hex153f6c624

5703648804 has 144 divisors (see below), whose sum is σ = 17291957760. Its totient is φ = 1621045440.

The previous prime is 5703648799. The next prime is 5703648823. The reversal of 5703648804 is 4088463075.

5703648804 is a `hidden beast` number, since 570 + 36 + 48 + 8 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5703648804.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1039789 + ... + 1045259.

It is an arithmetic number, because the mean of its divisors is an integer number (120083040).

Almost surely, 25703648804 is an apocalyptic number.

5703648804 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 5703648804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645978880).

5703648804 is an abundant number, since it is smaller than the sum of its proper divisors (11588308956).

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

5703648804 is a wasteful number, since it uses less digits than its factorization.

5703648804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5680 counting only the distinct ones).

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

The square root of 5703648804 is about 75522.5052815384. The cubic root of 5703648804 is about 1786.6970711361.

The spelling of 5703648804 in words is "five billion, seven hundred three million, six hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 197 252 294 378 394 441 588 591 756 788 882 1182 1323 1379 1764 1773 2364 2646 2758 3546 4137 5292 5319 5471 5516 7092 8274 9653 10638 10942 12411 16413 16548 19306 21276 21884 24822 28959 32826 37233 38297 38612 49239 49644 57918 65652 74466 76594 86877 98478 114891 115836 147717 148932 153188 173754 196956 229782 260631 268079 295434 344673 347508 459564 521262 536158 590868 689346 804237 1034019 1042524 1072316 1077787 1378692 1608474 2068038 2155574 2412711 3216948 3233361 4136076 4311148 4825422 6466722 7238133 7544509 9650844 9700083 12933444 14476266 15089018 19400166 22633527 28952532 29100249 30178036 38800332 45267054 52811563 58200498 67900581 90534108 105623126 116400996 135801162 158434689 203701743 211246252 271602324 316869378 407403486 475304067 633738756 814806972 950608134 1425912201 1901216268 2851824402 5703648804