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34819325425 = 521924099433
BaseRepresentation
bin100000011011011001…
…001011110111110001
310022212121201000000101
4200123121023313301
51032302221403200
623555030552401
72341566245203
oct403331136761
9108777630011
1034819325425
1113848668605
1268b8b08701
13338b974a51
141984518773
15d8bc9226a
hex81b64bdf1

34819325425 has 36 divisors (see below), whose sum is σ = 45684239340. Its totient is φ = 26322071040.

The previous prime is 34819325407. The next prime is 34819325449. The reversal of 34819325425 is 52452391843.

It can be written as a sum of positive squares in 6 ways, for example, as 1403851024 + 33415474401 = 37468^2 + 182799^2 .

It is not a de Polignac number, because 34819325425 - 27 = 34819325297 is a prime.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3686509 + ... + 3695941.

Almost surely, 234819325425 is an apocalyptic number.

It is an amenable number.

34819325425 is a deficient number, since it is larger than the sum of its proper divisors (10864913915).

34819325425 is a wasteful number, since it uses less digits than its factorization.

34819325425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 9866 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 46.

The spelling of 34819325425 in words is "thirty-four billion, eight hundred nineteen million, three hundred twenty-five thousand, four hundred twenty-five".

Divisors: 1 5 19 25 95 361 409 475 1805 2045 7771 9025 9433 10225 38855 47165 147649 179227 194275 235825 738245 896135 3405313 3691225 3858097 4480675 17026565 19290485 73303843 85132825 96452425 366519215 1392773017 1832596075 6963865085 34819325425