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68763358370241 = 32294149191306339
BaseRepresentation
bin11111010001010001101111…
…00011001001100111000001
3100000110201020200020000012200
433220220313203021213001
533003104324220321431
6402125241205343413
720324663060150043
oct1750506743114701
9300421220200180
1068763358370241
111aa01416163297
127866971707b69
132c4a484077c92
1412da242bc1a93
157e3a5d0a5ee6
hex3e8a378c99c1

68763358370241 has 48 divisors (see below), whose sum is σ = 105277418064000. Its totient is φ = 43173112308480.

The previous prime is 68763358370209. The next prime is 68763358370303. The reversal of 68763358370241 is 14207385336786.

68763358370241 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 3 + 3 + 583 + 7 + 0 + 2 + 41 = 666.

68763358370241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 68763358370241 - 25 = 68763358370209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68763358370141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51985050 + ... + 53291388.

It is an arithmetic number, because the mean of its divisors is an integer number (2193279543000).

Almost surely, 268763358370241 is an apocalyptic number.

It is an amenable number.

68763358370241 is a deficient number, since it is larger than the sum of its proper divisors (36514059693759).

68763358370241 is a wasteful number, since it uses less digits than its factorization.

68763358370241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311334 (or 1311331 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 68763358370241 in words is "sixty-eight trillion, seven hundred sixty-three billion, three hundred fifty-eight million, three hundred seventy thousand, two hundred forty-one".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 4919 10701 14757 44271 142651 201679 427953 605037 1283859 1306339 1815111 3919017 5848691 11757051 17546073 37883831 52638219 53559899 113651493 160679697 340954479 482039091 1553237071 4659711213 6425881541 13979133639 19277644623 57832933869 186350564689 263461143181 559051694067 790383429543 1677155082201 2371150288629 7640373152249 22921119456747 68763358370241