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68927786780177 = 1337809177133513
BaseRepresentation
bin11111010110000100000000…
…01111110000011000010001
3100001001102122222021200121102
433223002000033300120101
533013303101403431202
6402332553233034145
720342603545445303
oct1753020017603021
9301042588250542
1068927786780177
111aa6512376a376
1278928003b5955
132c5cb29913bc0
1413041a08c7973
157e7e836ded02
hex3eb0803f0611

68927786780177 has 16 divisors (see below), whose sum is σ = 76330373852880. Its totient is φ = 61829515164672.

The previous prime is 68927786780129. The next prime is 68927786780261. The reversal of 68927786780177 is 77108768772986.

It is a Cunningham number, because it is equal to 83022762+1.

It can be written as a sum of positive squares in 8 ways, for example, as 10196424057856 + 58731362722321 = 3193184^2 + 7663639^2 .

It is a cyclic number.

It is not a de Polignac number, because 68927786780177 - 218 = 68927786518033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68927786780095 and 68927786780104.

It is not an unprimeable number, because it can be changed into a prime (68927786780477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88177628 + ... + 88955885.

It is an arithmetic number, because the mean of its divisors is an integer number (4770648365805).

Almost surely, 268927786780177 is an apocalyptic number.

It is an amenable number.

68927786780177 is a deficient number, since it is larger than the sum of its proper divisors (7402587072703).

68927786780177 is a wasteful number, since it uses less digits than its factorization.

68927786780177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177134372.

The product of its (nonzero) digits is 5576159232, while the sum is 83.

The spelling of 68927786780177 in words is "sixty-eight trillion, nine hundred twenty-seven billion, seven hundred eighty-six million, seven hundred eighty thousand, one hundred seventy-seven".

Divisors: 1 13 37 481 809 10517 29933 389129 177133513 2302735669 6553939981 85201219753 143301012017 1862913156221 5302137444629 68927786780177