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542426624245 = 511172114396263
BaseRepresentation
bin1111110010010110010…
…01010111000011110101
31220212002122101112102001
413321023021113003311
532341342203433440
61053104245015301
754121560142402
oct7711311270365
91825078345361
10542426624245
1119a050763220
12891616b4531
133c1c5b7b56c
141c379bc12a9
15e19a69eb9a
hex7e4b2570f5

542426624245 has 64 divisors (see below), whose sum is σ = 757260472320. Its totient is φ = 368626406400.

The previous prime is 542426624203. The next prime is 542426624261.

542426624245 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-542426624245 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542426624195 and 542426624204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86604984 + ... + 86611246.

It is an arithmetic number, because the mean of its divisors is an integer number (11832194880).

Almost surely, 2542426624245 is an apocalyptic number.

542426624245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542426624245 is a deficient number, since it is larger than the sum of its proper divisors (214833848075).

542426624245 is a wasteful number, since it uses less digits than its factorization.

542426624245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946.

The product of its digits is 3686400, while the sum is 46.

The spelling of 542426624245 in words is "five hundred forty-two billion, four hundred twenty-six million, six hundred twenty-four thousand, two hundred forty-five".

Divisors: 1 5 11 17 55 85 187 211 439 935 1055 2195 2321 3587 4829 6263 7463 11605 17935 24145 31315 37315 39457 68893 82093 92629 106471 197285 344465 410465 463145 532355 1018919 1171181 1321493 1574693 2749457 5094595 5855905 6607465 7873465 13747285 14536423 17321623 22465381 30244027 46740769 72682115 86608115 112326905 151220135 233703845 247119191 514148459 580135427 1235595955 2570742295 2900677135 6381489697 9862302259 31907448485 49311511295 108485324849 542426624245