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542496694245 = 351173137328753
BaseRepresentation
bin1111110010011110101…
…00101001111111100101
31220212021112020110101020
413321033110221333211
532342013123203440
61053115230521353
754123400550202
oct7711724517745
91825245213336
10542496694245
1119a087271910
1289181066259
133c207542bbc
141c385220ca9
15e1a18e13d0
hex7e4f529fe5

542496694245 has 64 divisors (see below), whose sum is σ = 966883924224. Its totient is φ = 257531166720.

The previous prime is 542496694217. The next prime is 542496694261.

It is a happy number.

542496694245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542496694245 - 217 = 542496563173 is a prime.

It is a super-2 number, since 2×5424966942452 (a number of 24 digits) contains 22 as substring.

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, 1485789 + ... + 1814541.

It is an arithmetic number, because the mean of its divisors is an integer number (15107561316).

Almost surely, 2542496694245 is an apocalyptic number.

542496694245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542496694245 is a deficient number, since it is larger than the sum of its proper divisors (424387229979).

542496694245 is a wasteful number, since it uses less digits than its factorization.

542496694245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328982.

The product of its digits is 74649600, while the sum is 60.

It can be divided in two parts, 5424 and 96694245, that added together give a palindrome (96699669).

The spelling of 542496694245 in words is "five hundred forty-two billion, four hundred ninety-six million, six hundred ninety-four thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 55 73 137 165 219 365 411 685 803 1095 1507 2055 2409 4015 4521 7535 10001 12045 22605 30003 50005 110011 150015 328753 330033 550055 986259 1643765 1650165 3616283 4931295 10848849 18081415 23998969 45039161 54244245 71996907 119994845 135117483 225195805 263988659 359984535 495430771 675587415 791965977 1319943295 1486292313 2477153855 3287858753 3959829885 7431461565 9863576259 16439293765 36166446283 49317881295 108499338849 180832231415 542496694245