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21660531255 = 32511243711303
BaseRepresentation
bin10100001011000100…
…010111101000110111
32001220120002222220100
4110023010113220313
5323330044000010
613541204205143
71364524322616
oct241304275067
961816088810
1021660531255
119205894800
1242460997b3
1320727153cc
141096a5587d
1586b9252c0
hex50b117a37

21660531255 has 144 divisors (see below), whose sum is σ = 42855740928. Its totient is φ = 10105603200.

The previous prime is 21660531251. The next prime is 21660531271. The reversal of 21660531255 is 55213506612.

21660531255 is a `hidden beast` number, since 2 + 16 + 60 + 531 + 2 + 55 = 666.

It is not a de Polignac number, because 21660531255 - 22 = 21660531251 is a prime.

It is a super-2 number, since 2×216605312552 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21660531251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16622934 + ... + 16624236.

It is an arithmetic number, because the mean of its divisors is an integer number (297609312).

Almost surely, 221660531255 is an apocalyptic number.

21660531255 is a deficient number, since it is larger than the sum of its proper divisors (21195209673).

21660531255 is a wasteful number, since it uses less digits than its factorization.

21660531255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 21660531255 in words is "twenty-one billion, six hundred sixty million, five hundred thirty-one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 43 45 55 71 99 121 129 165 213 215 355 363 387 473 495 605 639 645 781 1065 1089 1303 1419 1815 1935 2343 2365 3053 3195 3905 3909 4257 5203 5445 6515 7029 7095 8591 9159 11715 11727 14333 15265 15609 19545 21285 25773 26015 27477 33583 35145 42955 42999 45795 46827 56029 58635 71665 77319 78045 92513 100749 128865 128997 137385 157663 167915 168087 214995 234135 277539 280145 302247 369413 386595 462565 472989 503745 504261 616319 644985 788315 832617 840435 1017643 1108239 1387695 1418967 1511235 1847065 1848957 2364945 2521305 3052929 3081595 3324717 3978059 4163085 5088215 5541195 5546871 6779509 7094835 9158787 9244785 11194073 11934177 15264645 16623585 19890295 20338527 27734355 33582219 33897545 35802531 43758649 45793935 55970365 59670885 61015581 100746657 101692635 131275947 167911095 179012655 218793245 305077905 393827841 481345139 503733285 656379735 1444035417 1969139205 2406725695 4332106251 7220177085 21660531255