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5531728271355 = 3351113535406487
BaseRepresentation
bin101000001111111010010…
…1100101101011111111011
3201120211100122200000122000
41100133310230231133323
51211112434414140410
615433124010432043
71110440245331406
oct120376454553773
921524318600560
105531728271355
111842aa1440920
12754104732623
133118416718b0
14151a46778d3d
1598d5da68dc0
hex507f4b2d7fb

5531728271355 has 128 divisors (see below), whose sum is σ = 11771438192640. Its totient is φ = 2429026030080.

The previous prime is 5531728271327. The next prime is 5531728271359.

5531728271355 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 7 + 282 + 7 + 1 + 355 = 666.

5531728271355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5531728271355 - 213 = 5531728263163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5531728271359) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1680079 + ... + 3726408.

It is an arithmetic number, because the mean of its divisors is an integer number (91964360880).

Almost surely, 25531728271355 is an apocalyptic number.

5531728271355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5531728271355 is an abundant number, since it is smaller than the sum of its proper divisors (6239709921285).

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

5531728271355 is a wasteful number, since it uses less digits than its factorization.

5531728271355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406578 (or 5406572 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 54.

The spelling of 5531728271355 in words is "five trillion, five hundred thirty-one billion, seven hundred twenty-eight million, two hundred seventy-one thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 53 55 65 99 117 135 143 159 165 195 265 297 351 429 477 495 583 585 689 715 795 1287 1431 1485 1749 1755 2067 2145 2385 2915 3445 3861 5247 6201 6435 7155 7579 8745 10335 15741 18603 19305 22737 26235 31005 37895 68211 78705 93015 113685 204633 341055 1023165 5406487 16219461 27032435 48658383 59471357 70284331 81097305 145975149 178414071 210852993 243291915 286543811 297356785 351421655 535242213 632558979 729875745 773127641 859631433 892070355 1054264965 1432719055 1605726639 1897676937 2319382923 2578894299 2676211065 3151981921 3162794895 3725069543 3865638205 4298157165 6958148769 7736682897 8028633195 9455945763 9488384685 11175208629 11596914615 12894471495 15759909605 18625347715 20874446307 28367837289 33525625887 34790743845 38683414485 40975764973 47279728815 55876043145 85103511867 100576877661 104372231535 122927294919 141839186445 167628129435 204878824865 368781884757 425517559335 502884388305 614636474595 1106345654271 1843909423785 5531728271355