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5256682704 = 2433713133717
BaseRepresentation
bin1001110010101001…
…01001110011010000
3111120100101011001000
410321110221303100
541231202321304
62225340542000
7244160031360
oct47124516320
914510334030
105256682704
112258295579
121028551900
1365a0a0c50
1437c1da9a0
1520b75a939
hex139529cd0

5256682704 has 160 divisors (see below), whose sum is σ = 18570755840. Its totient is φ = 1386367488.

The previous prime is 5256682687. The next prime is 5256682777. The reversal of 5256682704 is 4072866525.

5256682704 is a `hidden beast` number, since 5 + 2 + 566 + 82 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5256682704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27547 + ... + 106170.

It is an arithmetic number, because the mean of its divisors is an integer number (116067224).

Almost surely, 25256682704 is an apocalyptic number.

5256682704 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 5256682704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285377920).

5256682704 is an abundant number, since it is smaller than the sum of its proper divisors (13314073136).

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

5256682704 is a wasteful number, since it uses less digits than its factorization.

5256682704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133754 (or 133742 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5256682704 is about 72502.9841041043. The cubic root of 5256682704 is about 1738.7504465062.

The spelling of 5256682704 in words is "five billion, two hundred fifty-six million, six hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 133717 267434 401151 534868 802302 936019 1069736 1203453 1604604 1738321 1872038 2139472 2406906 2808057 3209208 3476642 3610359 3744076 4813812 5214963 5616114 6418416 6953284 7220718 7488152 8424171 9627624 10429926 11232228 12168247 13906568 14441436 14976304 15644889 16848342 19255248 20859852 22464456 24336494 25272513 27813136 28882872 31289778 33696684 36504741 41719704 44928912 46934667 48672988 50545026 57765744 62579556 67393368 73009482 83439408 93869334 97345976 101090052 109514223 125159112 134786736 146018964 187738668 194691952 202180104 219028446 250318224 292037928 328542669 375477336 404360208 438056892 584075856 657085338 750954672 876113784 1314170676 1752227568 2628341352 5256682704