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345455666605 = 5721782942537
BaseRepresentation
bin1010000011011101100…
…00110010010110101101
31020000200101210010212201
411001232300302112231
521124443122312410
6422411121501501
733646466500600
oct5015660622655
91200611703781
10345455666605
11123563799415
1256b504a1891
1326765271a5a
1412a12106337
158ebd10983a
hex506ec325ad

345455666605 has 24 divisors (see below), whose sum is σ = 510594263928. Its totient is φ = 222949536768.

The previous prime is 345455666603. The next prime is 345455666617. The reversal of 345455666605 is 506666554543.

It can be written as a sum of positive squares in 4 ways, for example, as 33218343081 + 312237323524 = 182259^2 + 558782^2 .

It is not a de Polignac number, because 345455666605 - 21 = 345455666603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345455666603) 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 23 ways as a sum of consecutive naturals, for example, 41467104 + ... + 41475433.

It is an arithmetic number, because the mean of its divisors is an integer number (21274760997).

Almost surely, 2345455666605 is an apocalyptic number.

345455666605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345455666605 is a deficient number, since it is larger than the sum of its proper divisors (165138597323).

345455666605 is a wasteful number, since it uses less digits than its factorization.

345455666605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82942573 (or 82942566 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 55.

The spelling of 345455666605 in words is "three hundred forty-five billion, four hundred fifty-five million, six hundred sixty-six thousand, six hundred five".

Divisors: 1 5 7 17 35 49 85 119 245 595 833 4165 82942537 414712685 580597759 1410023129 2902988795 4064184313 7050115645 9870161903 20320921565 49350809515 69091133321 345455666605