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345812218543 = 11613923131371
BaseRepresentation
bin1010000100001000000…
…00111011001010101111
31020001121020200212012001
411002010000323022233
521131210411443133
6422510335553131
733661356233611
oct5020400731257
91201536625161
10345812218543
11123726a89140
125702b98b7a7
13267c10b022c
1412a475dadb1
158ede58987d
hex508403b2af

345812218543 has 16 divisors (see below), whose sum is σ = 383534773632. Its totient is φ = 309139884000.

The previous prime is 345812218541. The next prime is 345812218559.

345812218543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 345812218543 - 21 = 345812218541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345812218493 and 345812218502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345812218541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2566648 + ... + 2698018.

It is an arithmetic number, because the mean of its divisors is an integer number (23970923352).

Almost surely, 2345812218543 is an apocalyptic number.

345812218543 is a deficient number, since it is larger than the sum of its proper divisors (37722555089).

345812218543 is a wasteful number, since it uses less digits than its factorization.

345812218543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135366.

The product of its digits is 921600, while the sum is 46.

The spelling of 345812218543 in words is "three hundred forty-five billion, eight hundred twelve million, two hundred eighteen thousand, five hundred forty-three".

Divisors: 1 11 61 671 3923 43153 131371 239303 1445081 2632333 8013631 88149941 515368433 5669052763 31437474413 345812218543