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54882628845 = 35112257117659
BaseRepresentation
bin110011000111010000…
…100111010011101101
312020122212100102020020
4303013100213103231
51344344423110340
641113541112353
73652020435162
oct630720472355
9166585312206
1054882628845
11213038a4400
12a7780b86b9
1352384b5115
142928d9c069
1516633649d0
hexcc74274ed

54882628845 has 48 divisors (see below), whose sum is σ = 96897245760. Its totient is φ = 26505994240.

The previous prime is 54882628831. The next prime is 54882628943.

54882628845 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54882628845 - 26 = 54882628781 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 407626 + ... + 525284.

It is an arithmetic number, because the mean of its divisors is an integer number (2018692620).

Almost surely, 254882628845 is an apocalyptic number.

54882628845 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54882628845 is a deficient number, since it is larger than the sum of its proper divisors (42014616915).

54882628845 is a wasteful number, since it uses less digits than its factorization.

54882628845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117946 (or 117935 counting only the distinct ones).

The product of its digits is 39321600, while the sum is 60.

The spelling of 54882628845 in words is "fifty-four billion, eight hundred eighty-two million, six hundred twenty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 11 15 33 55 121 165 257 363 605 771 1285 1815 2827 3855 8481 14135 31097 42405 93291 117659 155485 352977 466455 588295 1294249 1764885 3882747 6471245 14236739 19413735 30238363 42710217 71183695 90715089 151191815 213551085 332621993 453575445 997865979 1663109965 3658841923 4989329895 10976525769 18294209615 54882628845