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54243544534245 = 33511291259573773
BaseRepresentation
bin11000101010101100011110…
…01101000000110011100101
321010001122001212212011222000
430111112033031000303211
524102211234400043440
6311211050151555513
714265652413003153
oct1425261715006345
9233048055764860
1054243544534245
1116313615843a40
12610091938bb99
1324361b5050071
14d57589c683d3
15640eebd2d730
hex31558f340ce5

54243544534245 has 64 divisors (see below), whose sum is σ = 108827174073600. Its totient is φ = 25393007243520.

The previous prime is 54243544534171. The next prime is 54243544534351.

54243544534245 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 3 + 544 + 53 + 4 + 2 + 45 = 666.

54243544534245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54243544534245 - 28 = 54243544533989 is a prime.

It is a super-3 number, since 3×542435445342453 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 54243544534191 and 54243544534200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629743822 + ... + 629829951.

It is an arithmetic number, because the mean of its divisors is an integer number (1700424594900).

Almost surely, 254243544534245 is an apocalyptic number.

54243544534245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54243544534245 is an abundant number, since it is smaller than the sum of its proper divisors (54583629539355).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54243544534245 is a wasteful number, since it uses less digits than its factorization.

54243544534245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259573827 (or 1259573821 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 54.

It can be divided in two parts, 5424354 and 4534245, that added together give a palindrome (9958599).

The spelling of 54243544534245 in words is "fifty-four trillion, two hundred forty-three billion, five hundred forty-four million, five hundred thirty-four thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 957 1305 1485 1595 2871 3915 4785 8613 14355 43065 1259573773 3778721319 6297868865 11336163957 13855311503 18893606595 34008491871 36527639417 41565934509 56680819785 69276557515 109582918251 124697803527 170042459355 182638197085 207829672545 328748754753 374093410581 401804033587 547914591255 623489017635 986246264259 1205412100761 1643743773765 1870467052905 2009020167935 3616236302283 4931231321295 6027060503805 10848708906849 18081181511415 54243544534245