Search a number
-
+
68056757285777 = 13253109137508817
BaseRepresentation
bin11110111100101101100101…
…10101111011001110010001
322220222011101102121202220222
433132112302311323032101
532410020214331121102
6400424502004042425
720222636614061231
oct1736266265731621
9286864342552828
1068056757285777
111a759788285197
127771a32393415
132bc8956156c00
1412b3d70d21cc1
157d04a4731aa2
hex3de5b2d7b391

68056757285777 has 48 divisors (see below), whose sum is σ = 76327157245680. Its totient is φ = 60624946077696.

The previous prime is 68056757285729. The next prime is 68056757285779. The reversal of 68056757285777 is 77758275765086.

It can be written as a sum of positive squares in 24 ways, for example, as 45134963681536 + 22921793604241 = 6718256^2 + 4787671^2 .

It is not a de Polignac number, because 68056757285777 - 240 = 66957245658001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68056757285779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133500473 + ... + 134009289.

It is an arithmetic number, because the mean of its divisors is an integer number (1590149109285).

Almost surely, 268056757285777 is an apocalyptic number.

It is an amenable number.

68056757285777 is a deficient number, since it is larger than the sum of its proper divisors (8270399959903).

68056757285777 is a wasteful number, since it uses less digits than its factorization.

68056757285777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509142 (or 509129 counting only the distinct ones).

The product of its (nonzero) digits is 9680832000, while the sum is 80.

The spelling of 68056757285777 in words is "sixty-eight trillion, fifty-six billion, seven hundred fifty-seven million, two hundred eighty-five thousand, seven hundred seventy-seven".

Divisors: 1 13 53 109 137 169 689 1417 1781 5777 7261 8957 14933 18421 23153 75101 94393 194129 508817 791449 976313 1227109 2523677 6614621 10288837 26967301 55461053 69707929 85990073 133754881 350574913 720993689 906203077 2939435809 3694520237 4557473869 7598164261 9372917957 11780640001 38212665517 48028763081 98776135393 402702705833 496764651721 624373920053 1284089760109 5235135175829 68056757285777