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3128623088405 = 541317201723869
BaseRepresentation
bin101101100001110000011…
…101111100001100010101
3102002002112010022011110012
4231201300131330030111
5402224410002312110
610353134122410005
7442015124316653
oct55416035741425
912062463264405
103128623088405
11aa6929196841
12426421660905
1319904937b039
14ab5d757ddd3
15565b1773905
hex2d87077c315

3128623088405 has 32 divisors (see below), whose sum is σ = 3860123873760. Its totient is φ = 2432840417280.

The previous prime is 3128623088363. The next prime is 3128623088413. The reversal of 3128623088405 is 5048803268213.

3128623088405 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 16 ways, for example, as 1228322240209 + 1900300848196 = 1108297^2 + 1378514^2 .

It is not a de Polignac number, because 3128623088405 - 26 = 3128623088341 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131062811 + ... + 131086679.

It is an arithmetic number, because the mean of its divisors is an integer number (120628871055).

Almost surely, 23128623088405 is an apocalyptic number.

It is an amenable number.

3128623088405 is a deficient number, since it is larger than the sum of its proper divisors (731500785355).

3128623088405 is a wasteful number, since it uses less digits than its factorization.

3128623088405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26249.

The product of its (nonzero) digits is 2211840, while the sum is 50.

The spelling of 3128623088405 in words is "three trillion, one hundred twenty-eight billion, six hundred twenty-three million, eighty-eight thousand, four hundred five".

Divisors: 1 5 41 205 317 1585 2017 10085 12997 23869 64985 82697 119345 413485 639389 978629 3196945 4893145 7566473 26214949 37832365 48143773 131074745 240718865 310225393 1551126965 1973894693 9869473465 15261576041 76307880205 625724617681 3128623088405