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82714489015756 = 221319293478319499
BaseRepresentation
bin10010110011101001110111…
…101111000100110111001100
3101211212102112221211112102011
4102303221313233010313030
541320143233142001011
6451530302304511004
723264632101055363
oct2263516757046714
9354772487745364
1082714489015756
11243a0021761604
12933a75701b464
13371cc3457c910
14165d58cb587da
159868d89ea621
hex4b3a77bc4dcc

82714489015756 has 96 divisors (see below), whose sum is σ = 170236936800000. Its totient is φ = 34818896141568.

The previous prime is 82714489015747. The next prime is 82714489015777. The reversal of 82714489015756 is 65751098441728.

It is a junction number, because it is equal to n+sod(n) for n = 82714489015691 and 82714489015700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5782495 + ... + 14101993.

It is an arithmetic number, because the mean of its divisors is an integer number (1773301425000).

Almost surely, 282714489015756 is an apocalyptic number.

It is an amenable number.

82714489015756 is an abundant number, since it is smaller than the sum of its proper divisors (87522447784244).

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

82714489015756 is a wasteful number, since it uses less digits than its factorization.

82714489015756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319911 (or 8319909 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 67.

The spelling of 82714489015756 in words is "eighty-two trillion, seven hundred fourteen billion, four hundred eighty-nine million, fifteen thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 19 26 29 38 52 58 76 116 247 347 377 494 551 694 754 988 1102 1388 1508 2204 4511 6593 7163 9022 10063 13186 14326 18044 20126 26372 28652 40252 85709 130819 171418 191197 261638 342836 382394 523276 764788 2485561 4971122 8319499 9942244 16638998 33277996 108153487 158070481 216306974 241265471 316140962 432613948 482530942 632281924 965061884 2054916253 2886866153 3136451123 4109832506 4584043949 5773732306 6272902246 8219665012 9168087898 11547464612 12545804492 18336175796 37529259989 54850456907 59592571337 75058519978 83719118437 109700913814 119185142674 150117039956 167438236874 219401827628 238370285348 334876473748 713055939791 1088348539681 1426111879582 1590663250303 2176697079362 2852223759164 3181326500606 4353394158724 6362653001212 20678622253939 41357244507878 82714489015756