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3424827695641 = 11237245472
BaseRepresentation
bin110001110101100111101…
…000110110001000011001
3110010102002010112021002221
4301311213220312020121
5422103021342230031
611141202155224041
7502302265042312
oct61654750661031
913112063467087
103424827695641
111100508a49300
12473907a48021
131bac62a965c1
14bba965cd609
155e14ab26a11
hex31d67a36219

3424827695641 has 27 divisors (see below), whose sum is σ = 3869823607167. Its totient is φ = 3028665396240.

The previous prime is 3424827695629. The next prime is 3424827695711. The reversal of 3424827695641 is 1465967284243.

The square root of 3424827695641 is 1850629.

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

3424827695641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3064582854025 + 360244841616 = 1750595^2 + 600204^2 .

It is not a de Polignac number, because 3424827695641 - 215 = 3424827662873 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 3424827695641.

It is not an unprimeable number, because it can be changed into a prime (3424827695741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 753203730 + ... + 753208276.

Almost surely, 23424827695641 is an apocalyptic number.

3424827695641 is the 1850629-th square number.

3424827695641 is the 925315-th centered octagonal number.

It is an amenable number.

3424827695641 is a deficient number, since it is larger than the sum of its proper divisors (444995911526).

3424827695641 is an frugal number, since it uses more digits than its factorization.

3424827695641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 4595 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 61.

The spelling of 3424827695641 in words is "three trillion, four hundred twenty-four billion, eight hundred twenty-seven million, six hundred ninety-five thousand, six hundred forty-one".

Divisors: 1 11 37 121 407 1369 4477 4547 15059 50017 165649 168239 550187 1850629 6224843 20356919 20675209 68473273 227427299 753206003 764982733 2501700289 8414810063 28304361121 92562910693 311347972331 3424827695641