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34389775764 = 22321405767957
BaseRepresentation
bin100000000001110010…
…100101010110010100
310021202200102121122200
4200001302211112110
51030412240311024
623444244124500
72325132161631
oct400162452624
9107680377580
1034389775764
111364814a593
1267b9096730
133320988456
141943461188
15d641e32c9
hex801ca5594

34389775764 has 36 divisors (see below), whose sum is σ = 86937174324. Its totient is φ = 11462274432.

The previous prime is 34389775691. The next prime is 34389775799. The reversal of 34389775764 is 46757798343.

34389775764 is a `hidden beast` number, since 3 + 438 + 97 + 7 + 57 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1159402500 + 33230373264 = 34050^2 + 182292^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 472074 + ... + 540030.

It is an arithmetic number, because the mean of its divisors is an integer number (2414921509).

Almost surely, 234389775764 is an apocalyptic number.

It is an amenable number.

34389775764 is an abundant number, since it is smaller than the sum of its proper divisors (52547398560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34389775764 is a wasteful number, since it uses less digits than its factorization.

34389775764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82024 (or 82019 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 34389775764 in words is "thirty-four billion, three hundred eighty-nine million, seven hundred seventy-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 14057 28114 42171 56228 67957 84342 126513 135914 168684 203871 253026 271828 407742 506052 611613 815484 1223226 2446452 955271549 1910543098 2865814647 3821086196 5731629294 8597443941 11463258588 17194887882 34389775764