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34544005661 = 11172971731229
BaseRepresentation
bin100000001010111110…
…111011001000011101
310022011102122022022002
4200022332323020131
51031221231140121
623511433532045
72332014126524
oct401276731035
9108142568262
1034544005661
1113717210810
126840874025
133346908749
141959b2b4bb
15d72a0ae0b
hex80afbb21d

34544005661 has 64 divisors (see below), whose sum is σ = 42466291200. Its totient is φ = 27727257600.

The previous prime is 34544005651. The next prime is 34544005679. The reversal of 34544005661 is 16650044543.

34544005661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34544005661 - 26 = 34544005597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34544005651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28106795 + ... + 28108023.

It is an arithmetic number, because the mean of its divisors is an integer number (663535800).

Almost surely, 234544005661 is an apocalyptic number.

It is an amenable number.

34544005661 is a deficient number, since it is larger than the sum of its proper divisors (7922285539).

34544005661 is a wasteful number, since it uses less digits than its factorization.

34544005661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 34544005661 in words is "thirty-four billion, five hundred forty-four million, five thousand, six hundred sixty-one".

Divisors: 1 11 17 29 71 73 187 319 493 781 803 1207 1229 1241 2059 2117 5183 5423 13277 13519 13651 20893 22649 23287 35003 35641 35989 57013 87259 88111 89717 150307 229823 385033 392051 395879 605897 959849 969221 986887 1483403 1525189 1653377 2530511 2555219 2601793 6369907 6664867 16317433 16777079 27835621 28107409 28619723 43018687 44230481 70068977 108288419 184727303 473205557 486535291 1191172609 2032000333 3140364151 34544005661