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34478125201 = 1329157582509
BaseRepresentation
bin100000000111000011…
…100111000010010001
310021222211200020022001
4200013003213002101
51031102400001301
623501121514001
72330254141312
oct400703470221
9107884606261
1034478125201
1113693003853
1268227a2901
133336080020
14195109c609
15d6bd45c01
hex8070e7091

34478125201 has 16 divisors (see below), whose sum is σ = 38655363600. Its totient is φ = 30532739328.

The previous prime is 34478125193. The next prime is 34478125223. The reversal of 34478125201 is 10252187443.

It can be written as a sum of positive squares in 8 ways, for example, as 10160841601 + 24317283600 = 100801^2 + 155940^2 .

It is not a de Polignac number, because 34478125201 - 23 = 34478125193 is a prime.

It is a super-2 number, since 2×344781252012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34478125291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232066 + ... + 350443.

It is an arithmetic number, because the mean of its divisors is an integer number (2415960225).

Almost surely, 234478125201 is an apocalyptic number.

It is an amenable number.

34478125201 is a deficient number, since it is larger than the sum of its proper divisors (4177238399).

34478125201 is a wasteful number, since it uses less digits than its factorization.

34478125201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582708.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 34478125201 in words is "thirty-four billion, four hundred seventy-eight million, one hundred twenty-five thousand, two hundred one".

Divisors: 1 13 29 157 377 2041 4553 59189 582509 7572617 16892761 91453913 219605893 1188900869 2652163477 34478125201