Search a number
-
+
542420416213 = 13373613312121
BaseRepresentation
bin1111110010010101100…
…01101011011011010101
31220212002012201010120221
413321022301223123111
532341334111304323
61053103503554341
754121453315234
oct7711261533325
91825065633527
10542420416213
1119a048203015
128915b5bb9b1
133c1c47b6980
141c379046b1b
15e199d7555d
hex7e4ac6b6d5

542420416213 has 16 divisors (see below), whose sum is σ = 600100739056. Its totient is φ = 487027054080.

The previous prime is 542420416159. The next prime is 542420416217. The reversal of 542420416213 is 312614024245.

It can be written as a sum of positive squares in 8 ways, for example, as 2714201604 + 539706214609 = 52098^2 + 734647^2 .

It is a cyclic number.

It is not a de Polignac number, because 542420416213 - 225 = 542386861781 is a prime.

It is a super-2 number, since 2×5424204162132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542420416217) 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 15 ways as a sum of consecutive naturals, for example, 1581793 + ... + 1893913.

It is an arithmetic number, because the mean of its divisors is an integer number (37506296191).

Almost surely, 2542420416213 is an apocalyptic number.

It is an amenable number.

542420416213 is a deficient number, since it is larger than the sum of its proper divisors (57680322843).

542420416213 is a wasteful number, since it uses less digits than its factorization.

542420416213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315784.

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 542420416213 in words is "five hundred forty-two billion, four hundred twenty million, four hundred sixteen thousand, two hundred thirteen".

Divisors: 1 13 37 481 3613 46969 133681 312121 1737853 4057573 11548477 150130201 1127693173 14660011249 41724647401 542420416213