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68549188761 = 3696972
BaseRepresentation
bin111111110101110110…
…011001110010011001
320112221022101121000000
4333311312121302121
52110342043020021
651254023003213
74644466330164
oct776566316231
9215838347000
1068549188761
1127087259119
1211350b99509
1366059b8471
143464078adb
151bb3080b26
hexff5d99c99

68549188761 has 21 divisors (see below), whose sum is σ = 102787367151. Its totient is φ = 45694746432.

The previous prime is 68549188711. The next prime is 68549188787. The reversal of 68549188761 is 16788194586.

The square root of 68549188761 is 261819.

It is a perfect power (a square), and thus also a powerful number.

68549188761 is a `hidden beast` number, since 6 + 8 + 5 + 491 + 8 + 87 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8551625625 + 59997563136 = 92475^2 + 244944^2 .

It is not a de Polignac number, because 68549188761 - 27 = 68549188633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68549188711) 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 20 ways as a sum of consecutive naturals, for example, 7064265 + ... + 7073961.

It is an arithmetic number, because the mean of its divisors is an integer number (4894636531).

Almost surely, 268549188761 is an apocalyptic number.

68549188761 is the 261819-th square number.

68549188761 is the 130910-th centered octagonal number.

It is an amenable number.

68549188761 is a deficient number, since it is larger than the sum of its proper divisors (34238178390).

68549188761 is an frugal number, since it uses more digits than its factorization.

68549188761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19412 (or 9700 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 68549188761 in words is "sixty-eight billion, five hundred forty-nine million, one hundred eighty-eight thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 9697 29091 87273 261819 785457 2356371 7069113 94031809 282095427 846286281 2538858843 7616576529 22849729587 68549188761