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345362263543 = 1127158276899
BaseRepresentation
bin1010000011010010011…
…00011110110111110111
31020000102220000202222001
411001221030132313313
521124300214413133
6422353543520131
733644253542503
oct5015114366767
91200386022861
10345362263543
11123515aa3300
1256b25159047
132674bacab7b
1412a03951303
158eb4d0987d
hex506931edf7

345362263543 has 24 divisors (see below), whose sum is σ = 385081603200. Its totient is φ = 309445659600.

The previous prime is 345362263529. The next prime is 345362263553.

345362263543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345362263543 - 225 = 345328709111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345362263493 and 345362263502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345362263513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50056308 + ... + 50063206.

It is an arithmetic number, because the mean of its divisors is an integer number (16045066800).

Almost surely, 2345362263543 is an apocalyptic number.

345362263543 is a deficient number, since it is larger than the sum of its proper divisors (39719339657).

345362263543 is a wasteful number, since it uses less digits than its factorization.

345362263543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12808 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 46.

The spelling of 345362263543 in words is "three hundred forty-five billion, three hundred sixty-two million, two hundred sixty-three thousand, five hundred forty-three".

Divisors: 1 11 71 121 781 5827 6899 8591 64097 75889 413717 489829 705067 834779 4550887 5388119 40200473 50059757 59269309 442205203 2854233583 4864257233 31396569413 345362263543