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345763464367543 = 53142730231512311
BaseRepresentation
bin100111010011110000101010…
…0011110000100110110110111
31200100020122221022220000220221
41032213201110132010312313
5330304442033334230133
63223213313120035211
7132554404655412145
oct11647412436046667
91610218838800827
10345763464367543
11a0197509667382
1232943338762b07
1311ac147c5cc671
1461550805b6595
1529e917b7c6a2d
hex13a7854784db7

345763464367543 has 16 divisors (see below), whose sum is σ = 352651026502656. Its totient is φ = 338889531204640.

The previous prime is 345763464367511. The next prime is 345763464367547.

It is a happy number.

345763464367543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 345763464367543 - 25 = 345763464367511 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 (345763464367547) 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, 227876358 + ... + 229388668.

It is an arithmetic number, because the mean of its divisors is an integer number (22040689156416).

Almost surely, 2345763464367543 is an apocalyptic number.

345763464367543 is a deficient number, since it is larger than the sum of its proper divisors (6887562135113).

345763464367543 is a wasteful number, since it uses less digits than its factorization.

345763464367543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516814.

The product of its digits is 5486745600, while the sum is 70.

The spelling of 345763464367543 in words is "three hundred forty-five trillion, seven hundred sixty-three billion, four hundred sixty-four million, three hundred sixty-seven thousand, five hundred forty-three".

Divisors: 1 53 1427 3023 75631 160219 1512311 4313821 80152483 228632513 2158067797 4571716153 114377593241 242300956109 6523838950331 345763464367543