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405555550555561 = 728276643888889
BaseRepresentation
bin101110000110110011100001…
…0100001110000110110101001
31222011221201202121202120020021
41130031213002201300312221
5411124110231420234221
63554313351540000441
7151265264416331500
oct13415470241606651
91864851677676207
10405555550555561
1110824a1635281aa
123959b471390121
131453a9554346b3
147220dc9b9b837
1531d466d282041
hex170d9c2870da9

405555550555561 has 6 divisors (see below), whose sum is σ = 471768701666730. Its totient is φ = 347619043333296.

The previous prime is 405555550555559. The next prime is 405555550555583. The reversal of 405555550555561 is 165555055555504.

It can be written as a sum of positive squares in only one way, i.e., 206487013558336 + 199068536997225 = 14369656^2 + 14109165^2 .

It is not a de Polignac number, because 405555550555561 - 21 = 405555550555559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 405555550555561.

It is not an unprimeable number, because it can be changed into a prime (405555550555541) 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 5 ways as a sum of consecutive naturals, for example, 4138321944396 + ... + 4138321944493.

It is an arithmetic number, because the mean of its divisors is an integer number (78628116944455).

Almost surely, 2405555550555561 is an apocalyptic number.

It is an amenable number.

405555550555561 is a deficient number, since it is larger than the sum of its proper divisors (66213151111169).

405555550555561 is an equidigital number, since it uses as much as digits as its factorization.

405555550555561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276643888903 (or 8276643888896 counting only the distinct ones).

The product of its (nonzero) digits is 234375000, while the sum is 61.

The spelling of 405555550555561 in words is "four hundred five trillion, five hundred fifty-five billion, five hundred fifty million, five hundred fifty-five thousand, five hundred sixty-one".

Divisors: 1 7 49 8276643888889 57936507222223 405555550555561