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543660066345 = 351131106287403
BaseRepresentation
bin1111110100101001010…
…10100100011000101001
31220222021121022212212210
413322110222210120221
532401403434110340
61053430505555333
754164255213454
oct7722452443051
91828247285783
10543660066345
1119a623a30560
12894467a5b49
133c361581666
141c45593849b
15e21dae4180
hex7e94aa4629

543660066345 has 32 divisors (see below), whose sum is σ = 979544715264. Its totient is φ = 255089764800.

The previous prime is 543660066269. The next prime is 543660066373.

543660066345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543660066345 - 218 = 543659804201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 543660066294 and 543660066303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53138587 + ... + 53148816.

It is an arithmetic number, because the mean of its divisors is an integer number (30610772352).

Almost surely, 2543660066345 is an apocalyptic number.

543660066345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543660066345 is a deficient number, since it is larger than the sum of its proper divisors (435884648919).

543660066345 is a wasteful number, since it uses less digits than its factorization.

543660066345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106287453.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 543660066345 in words is "five hundred forty-three billion, six hundred sixty million, sixty-six thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 106287403 318862209 531437015 1169161433 1594311045 3294909493 3507484299 5845807165 9884728479 16474547465 17537421495 36244004423 49423642395 108732013269 181220022115 543660066345