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542242242245 = 511217121743321
BaseRepresentation
bin1111110010000000010…
…01111111111011000101
31220211121210102221212002
413321000021333323011
532341003003222440
61053034101035045
754114161003504
oct7710011777305
91824553387762
10542242242245
11199a66678300
128910b9b5a85
133c196901ca2
141c35d50683b
15e1893cd115
hex7e4027fec5

542242242245 has 48 divisors (see below), whose sum is σ = 757933639344. Its totient is φ = 370846924800.

The previous prime is 542242242197. The next prime is 542242242299.

542242242245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 23977593409 + 518264648836 = 154847^2 + 719906^2 .

It is not a de Polignac number, because 542242242245 - 212 = 542242238149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 542242242199 and 542242242208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12495185 + ... + 12538505.

It is an arithmetic number, because the mean of its divisors is an integer number (15790284153).

Almost surely, 2542242242245 is an apocalyptic number.

542242242245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542242242245 is a deficient number, since it is larger than the sum of its proper divisors (215691397099).

542242242245 is a wasteful number, since it uses less digits than its factorization.

542242242245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44582 (or 44571 counting only the distinct ones).

The product of its digits is 409600, while the sum is 38.

It can be divided in two parts, 542242 and 242245, that added together give a palindrome (784487).

The spelling of 542242242245 in words is "five hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred forty-five".

Divisors: 1 5 11 17 55 85 121 187 605 935 1217 2057 6085 10285 13387 20689 43321 66935 103445 147257 216605 227579 476531 736285 736457 1137895 2382655 2503369 3682285 5241841 8101027 12516845 26209205 40505135 52721657 89111297 263608285 445556485 579938227 896268169 2899691135 4481340845 6379320497 9858949859 31896602485 49294749295 108448448449 542242242245