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34253626553 = 172327352177
BaseRepresentation
bin11111111001101011…
…001101110010111001
310021102012020112001022
4133321223031302321
51030122412022203
623422542032225
72321560010306
oct377153156271
9107365215038
1034253626553
1113588308683
12677b578675
1332cb6c8aa3
14192d3400ad
15d5729ca38
hex7f9acdcb9

34253626553 has 24 divisors (see below), whose sum is σ = 38434106088. Its totient is φ = 30414016512.

The previous prime is 34253626541. The next prime is 34253626577. The reversal of 34253626553 is 35562635243.

It can be written as a sum of positive squares in 4 ways, for example, as 1313917504 + 32939709049 = 36248^2 + 181493^2 .

It is not a de Polignac number, because 34253626553 - 26 = 34253626489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34253626513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630401 + ... + 682577.

It is an arithmetic number, because the mean of its divisors is an integer number (1601421087).

Almost surely, 234253626553 is an apocalyptic number.

It is an amenable number.

34253626553 is a deficient number, since it is larger than the sum of its proper divisors (4180479535).

34253626553 is a wasteful number, since it uses less digits than its factorization.

34253626553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52313 (or 52290 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 44.

The spelling of 34253626553 in words is "thirty-four billion, two hundred fifty-three million, six hundred twenty-six thousand, five hundred fifty-three".

Divisors: 1 17 23 73 391 529 1241 1679 8993 28543 38617 52177 656489 887009 1200071 3808921 20401207 27601633 64751657 87605183 469227761 1489288111 2014919209 34253626553