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543724427345 = 511831734631487
BaseRepresentation
bin1111110100110001000…
…00000101100001010001
31220222110002102202120112
413322120200011201101
532402021423133340
61053441125251105
754165666243041
oct7723040054121
91828402382515
10543724427345
1119a65729a970
1289464263a95
133c3719c75a8
141c4602cd721
15e2245a9065
hex7e98805851

543724427345 has 64 divisors (see below), whose sum is σ = 726577496064. Its totient is φ = 387313893120.

The previous prime is 543724427333. The next prime is 543724427347.

543724427345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543724427345 - 214 = 543724410961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 543724427293 and 543724427302.

It is not an unprimeable number, because it can be changed into a prime (543724427347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365651192 + ... + 365652678.

It is an arithmetic number, because the mean of its divisors is an integer number (11352773376).

Almost surely, 2543724427345 is an apocalyptic number.

543724427345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543724427345 is a deficient number, since it is larger than the sum of its proper divisors (182853068719).

543724427345 is a wasteful number, since it uses less digits than its factorization.

543724427345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222.

The product of its digits is 11289600, while the sum is 50.

The spelling of 543724427345 in words is "five hundred forty-three billion, seven hundred twenty-four million, four hundred twenty-seven thousand, three hundred forty-five".

Divisors: 1 5 11 55 83 173 415 463 865 913 1487 1903 2315 4565 5093 7435 9515 14359 16357 25465 38429 71795 80099 81785 123421 157949 192145 257251 400495 422719 617105 688481 789745 881089 1286255 1357631 2113595 2829761 3442405 4405445 6648217 6788155 7573291 14148805 21351833 33241085 37866455 57143923 73130387 106759165 119107213 234870163 285719615 365651935 595536065 628583153 1174350815 1310179343 3142915765 6550896715 9885898679 49429493395 108744885469 543724427345