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543420024345 = 3251117237102667
BaseRepresentation
bin1111110100001100101…
…10111000011000011001
31220221122212122111011100
413322012112320120121
532400411011234340
61053351013022013
754155311664532
oct7720626703031
91827585574140
10543420024345
1119a510489440
128939a324909
133c323917683
141c431ad1689
15e2079ca830
hex7e865b8619

543420024345 has 144 divisors (see below), whose sum is σ = 1121070495168. Its totient is φ = 241273313280.

The previous prime is 543420024337. The next prime is 543420024349.

543420024345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543420024345 - 23 = 543420024337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (543420024349) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5241702 + ... + 5344368.

It is an arithmetic number, because the mean of its divisors is an integer number (7785211772).

Almost surely, 2543420024345 is an apocalyptic number.

543420024345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543420024345 is an abundant number, since it is smaller than the sum of its proper divisors (577650470823).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

543420024345 is a wasteful number, since it uses less digits than its factorization.

543420024345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102760 (or 102740 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 5434200 and 24345, that added together give a palindrome (5458545).

The spelling of 543420024345 in words is "five hundred forty-three billion, four hundred twenty million, twenty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 17 33 37 45 51 55 85 99 111 153 165 185 187 255 289 333 407 495 555 561 629 765 867 935 1221 1445 1665 1683 1887 2035 2601 2805 3145 3179 3663 4335 5661 6105 6919 8415 9435 9537 10693 13005 15895 18315 20757 28305 28611 32079 34595 47685 53465 62271 96237 102667 103785 117623 143055 160395 308001 311355 352869 481185 513335 588115 924003 1058607 1129337 1540005 1745339 1764345 3388011 3798679 4620015 5236017 5293035 5646685 8726695 10164033 11396037 15708051 16940055 18993395 19198729 26180085 29670763 34188111 41785469 50820165 56980185 57596187 64577543 78540255 89012289 95993645 125356407 148353815 170940555 172788561 193732629 208927345 267036867 287980935 322887715 326378393 376069221 445061445 581197887 626782035 710352973 863942805 968663145 979135179 1097818231 1335184335 1631891965 1880346105 2131058919 2905989435 2937405537 3293454693 3551764865 4895675895 5489091155 6393176757 9880364079 10655294595 12076000541 14687027685 16467273465 31965883785 36228001623 49401820395 60380002705 108684004869 181140008115 543420024345