Search a number
-
+
542613655649 = 1380669517417
BaseRepresentation
bin1111110010101100100…
…10110101000001100001
31220212120200022201021002
413321112102311001201
532342233043440044
61053135005441345
754126320654432
oct7712622650141
91825520281232
10542613655649
1119a13729872a
12891b4270255
133c225844a30
141c396989489
15e1abce674e
hex7e564b5061

542613655649 has 8 divisors (see below), whose sum is σ = 584361540840. Its totient is φ = 500866966656.

The previous prime is 542613655603. The next prime is 542613655699. The reversal of 542613655649 is 946556316245.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50326192225 + 492287463424 = 224335^2 + 701632^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 542613655649 - 212 = 542613651553 is a prime.

It is a super-2 number, since 2×5426136556492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542613655594 and 542613655603.

It is not an unprimeable number, because it can be changed into a prime (542613655699) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 789989 + ... + 1307405.

It is an arithmetic number, because the mean of its divisors is an integer number (73045192605).

Almost surely, 2542613655649 is an apocalyptic number.

It is an amenable number.

542613655649 is a deficient number, since it is larger than the sum of its proper divisors (41747885191).

542613655649 is a wasteful number, since it uses less digits than its factorization.

542613655649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598099.

The product of its digits is 23328000, while the sum is 56.

The spelling of 542613655649 in words is "five hundred forty-two billion, six hundred thirteen million, six hundred fifty-five thousand, six hundred forty-nine".

Divisors: 1 13 80669 517417 1048697 6726421 41739511973 542613655649