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543425505524345 = 54199115581171679
BaseRepresentation
bin111101110001111100001110…
…0001101111111101001111001
32122021002222012211111012000202
41323203320130031333221321
51032211440413403234340
65203434121505411545
7222315124422534023
oct17343703415775171
92567088184435022
10543425505524345
1114817450a881954
1250b47606339bb5
131a42ba612a0602
149829d1316b013
1542c5b279d4c15
hex1ee3e1c37fa79

543425505524345 has 32 divisors (see below), whose sum is σ = 668736638115840. Its totient is φ = 423679329216000.

The previous prime is 543425505524299. The next prime is 543425505524381.

543425505524345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543425505524345 - 210 = 543425505523321 is a prime.

It is a super-2 number, since 2×5434255055243452 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3165272216 + ... + 3165443894.

It is an arithmetic number, because the mean of its divisors is an integer number (20898019941120).

Almost surely, 2543425505524345 is an apocalyptic number.

It is an amenable number.

543425505524345 is a deficient number, since it is larger than the sum of its proper divisors (125311132591495).

543425505524345 is a wasteful number, since it uses less digits than its factorization.

543425505524345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188297.

The product of its (nonzero) digits is 144000000, while the sum is 56.

It can be divided in two parts, 54342550 and 5524345, that added together give a palindrome (59866895).

The spelling of 543425505524345 in words is "five hundred forty-three trillion, four hundred twenty-five billion, five hundred five million, five hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 5 41 205 991 4955 15581 40631 77905 171679 203155 638821 858395 3194105 7038839 15440771 35194195 77203855 170133889 633071611 850669445 2674930499 3165358055 6975489449 13374652495 34877447245 109672150459 548360752295 2650856124509 13254280622545 108685101104869 543425505524345