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542241626142245 = 5192349860776141
BaseRepresentation
bin111101101001010100111011…
…1100000100011011000100101
32122002220210102020120022111112
41323102221313200203120211
51032033041322243022440
65201130210353514405
7222133443662035001
oct17322516740433045
92562823366508445
10542241626142245
11147858422824677
1250996087572a05
131a374220751083
1497c88c5a11701
1542a4e381b8965
hex1ed2a77823625

542241626142245 has 24 divisors (see below), whose sum is σ = 688706991214200. Its totient is φ = 409784532312960.

The previous prime is 542241626142233. The next prime is 542241626142259.

It is a happy number.

542241626142245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 39805007792641 + 502436618349604 = 6309121^2 + 22415098^2 .

It is not a de Polignac number, because 542241626142245 - 226 = 542241559033381 is a prime.

It is a super-2 number, since 2×5422416261422452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542241626142193 and 542241626142202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429758126 + ... + 431018015.

It is an arithmetic number, because the mean of its divisors is an integer number (28696124633925).

Almost surely, 2542241626142245 is an apocalyptic number.

It is an amenable number.

542241626142245 is a deficient number, since it is larger than the sum of its proper divisors (146465365071955).

542241626142245 is a wasteful number, since it uses less digits than its factorization.

542241626142245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860776533 (or 860776514 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 50.

The spelling of 542241626142245 in words is "five hundred forty-two trillion, two hundred forty-one billion, six hundred twenty-six million, one hundred forty-two thousand, two hundred forty-five".

Divisors: 1 5 19 95 349 361 1745 1805 6631 33155 125989 629945 860776141 4303880705 16354746679 81773733395 300410873209 310740186901 1502054366045 1553700934505 5707806590971 28539032954855 108448325228449 542241626142245