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34546064543 = 1012441140123
BaseRepresentation
bin100000001011000110…
…110001110010011111
310022011120111220112222
4200023012301302133
51031222243031133
623511550015555
72332040463224
oct401306616237
9108146456488
1034546064543
1113718397671
1268414a75bb
133347179913
14195a10594b
15d72cb5e98
hex80b1b1c9f

34546064543 has 8 divisors (see below), whose sum is σ = 34902646416. Its totient is φ = 34189768000.

The previous prime is 34546064489. The next prime is 34546064557.

34546064543 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34546064543 - 212 = 34546060447 is a prime.

It is a super-3 number, since 3×345460645433 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34546064494 and 34546064503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34546064743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176480 + ... + 316602.

It is an arithmetic number, because the mean of its divisors is an integer number (4362830802).

Almost surely, 234546064543 is an apocalyptic number.

34546064543 is a deficient number, since it is larger than the sum of its proper divisors (356581873).

34546064543 is a wasteful number, since it uses less digits than its factorization.

34546064543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142665.

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 34546064543 in words is "thirty-four billion, five hundred forty-six million, sixty-four thousand, five hundred forty-three".

Divisors: 1 101 2441 140123 246541 14152423 342040243 34546064543