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542424424245 = 35117369165171
BaseRepresentation
bin1111110010010110000…
…00111101111100110101
31220212002111020202120120
413321023000331330311
532341341123033440
61053104125522153
754121532350404
oct7711300757465
91825074222516
10542424424245
1119a04a4a0340
1289160a13359
133c1c558b0a2
141c3797ab63b
15e19a3b7dd0
hex7e4b03df35

542424424245 has 64 divisors (see below), whose sum is σ = 961150399488. Its totient is φ = 259011648000.

The previous prime is 542424424219. The next prime is 542424424249.

542424424245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542424424245 - 222 = 542420229941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542424424197 and 542424424206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542424424249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8290510 + ... + 8355680.

It is an arithmetic number, because the mean of its divisors is an integer number (15017974992).

Almost surely, 2542424424245 is an apocalyptic number.

542424424245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542424424245 is a deficient number, since it is larger than the sum of its proper divisors (418725975243).

542424424245 is a wasteful number, since it uses less digits than its factorization.

542424424245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65954.

The product of its digits is 1638400, while the sum is 42.

It can be divided in two parts, 542424 and 424245, that added together give a palindrome (966669).

The spelling of 542424424245 in words is "five hundred forty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 55 73 165 219 365 691 803 1095 2073 2409 3455 4015 7601 10365 12045 22803 38005 50443 65171 114015 151329 195513 252215 325855 554873 716881 756645 977565 1664619 2150643 2774365 3584405 4757483 8323095 10753215 14272449 23787415 45033161 52332313 71362245 135099483 156996939 225165805 261661565 495364771 675497415 784984695 1486094313 2476823855 3287420753 7430471565 9862262259 16437103765 36161628283 49311311295 108484884849 180808141415 542424424245