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345856658543 = 11531852332027
BaseRepresentation
bin1010000100001101010…
…10011100110001101111
31020001201100022122101222
411002012222130301233
521131303301033133
6422515004253555
733662436043364
oct5020652346157
91201640278358
10345856658543
1112374a081610
12570428412bb
13267ca36c9a6
1412a4d48846b
158ee3416e98
hex5086a9cc6f

345856658543 has 16 divisors (see below), whose sum is σ = 384449763456. Its totient is φ = 308456497440.

The previous prime is 345856658531. The next prime is 345856658557.

345856658543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 345856658543 - 218 = 345856396399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345856658443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10782896 + ... + 10814922.

It is an arithmetic number, because the mean of its divisors is an integer number (24028110216).

Almost surely, 2345856658543 is an apocalyptic number.

345856658543 is a deficient number, since it is larger than the sum of its proper divisors (38593104913).

345856658543 is a wasteful number, since it uses less digits than its factorization.

345856658543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50614.

The product of its digits is 207360000, while the sum is 62.

The spelling of 345856658543 in words is "three hundred forty-five billion, eight hundred fifty-six million, six hundred fifty-eight thousand, five hundred forty-three".

Divisors: 1 11 53 583 18523 32027 203753 352297 981719 1697431 10798909 18671741 593236121 6525597331 31441514413 345856658543