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468568999441 = 73293772
BaseRepresentation
bin1101101000110001110…
…00111000011000010001
31122210110101020110010201
412310120320320120101
530134112130440231
6555131351455201
745565401531244
oct6643070703021
91583411213121
10468568999441
1117079aa91584
127698a987501
13352554719aa
1418970b1725b
15c2c658e161
hex6d18e38611

468568999441 has 9 divisors (see below), whose sum is σ = 475126350321. Its totient is φ = 462100960512.

The previous prime is 468568999433. The next prime is 468568999447. The reversal of 468568999441 is 144999865864.

The square root of 468568999441 is 684521.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64479937041 + 404089062400 = 253929^2 + 635680^2 .

It is not a de Polignac number, because 468568999441 - 23 = 468568999433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468568999447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49965345 + ... + 49974721.

Almost surely, 2468568999441 is an apocalyptic number.

468568999441 is the 684521-st square number.

468568999441 is the 342261-st centered octagonal number.

It is an amenable number.

468568999441 is a deficient number, since it is larger than the sum of its proper divisors (6557350880).

468568999441 is an frugal number, since it uses more digits than its factorization.

468568999441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18900 (or 9450 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 73.

The spelling of 468568999441 in words is "four hundred sixty-eight billion, five hundred sixty-eight million, nine hundred ninety-nine thousand, four hundred forty-one".

Divisors: 1 73 5329 9377 684521 49970033 87928129 6418753417 468568999441