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54241266214245 = 351117101191458909
BaseRepresentation
bin11000101010101000001110…
…11001111010010101100101
321010001102012002210112110210
430111110013121322111211
524102142103122323440
6311210032123410033
714265542066415615
oct1425240731722545
9233042162715423
1054241266214245
1116312656790450
1261003a2383919
132435c11028c16
14d57411440a45
15640e16ce0a80
hex31550767a565

54241266214245 has 64 divisors (see below), whose sum is σ = 101237344922880. Its totient is φ = 24506740224000.

The previous prime is 54241266214231. The next prime is 54241266214271.

54241266214245 is nontrivially palindromic in base 10.

54241266214245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54241266214245 - 212 = 54241266210149 is a prime.

It is a super-2 number, since 2×542412662142452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54241266214194 and 54241266214203.

It is a congruent number.

It is an unprimeable number.

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, 95446150 + ... + 96012759.

It is an arithmetic number, because the mean of its divisors is an integer number (1581833514420).

Almost surely, 254241266214245 is an apocalyptic number.

54241266214245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54241266214245 is a deficient number, since it is larger than the sum of its proper divisors (46996078708635).

54241266214245 is a wasteful number, since it uses less digits than its factorization.

54241266214245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191459046.

The product of its digits is 3686400, while the sum is 48.

The spelling of 54241266214245 in words is "fifty-four trillion, two hundred forty-one billion, two hundred sixty-six million, two hundred fourteen thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 101 165 187 255 303 505 561 935 1111 1515 1717 2805 3333 5151 5555 8585 16665 18887 25755 56661 94435 283305 191458909 574376727 957294545 2106047999 2871883635 3254801453 6318143997 9764404359 10530239995 16274007265 19337349809 31590719985 35802815983 48822021795 58012049427 96686749045 107408447949 179014079915 212710847899 290060247135 328734946753 537042239745 638132543697 986204840259 1063554239495 1643674733765 3190662718485 3616084414283 4931024201295 10848253242849 18080422071415 54241266214245