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82735249058 = 27117112759581
BaseRepresentation
bin100110100001101100…
…1111011011010100010
321220112221222010022122
41031003121323122202
52323420210432213
6102001423304242
75656154004440
oct1150331733242
9256487863278
1082735249058
11320a69891a0
121404ba4b082
137a56a10797
14400c145b90
1522436b7d08
hex134367b6a2

82735249058 has 64 divisors (see below), whose sum is σ = 158143021056. Its totient is φ = 31529736000.

The previous prime is 82735249057. The next prime is 82735249073. The reversal of 82735249058 is 85094253728.

It is a super-3 number, since 3×827352490583 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82735249057) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1358828 + ... + 1418408.

It is an arithmetic number, because the mean of its divisors is an integer number (2470984704).

Almost surely, 282735249058 is an apocalyptic number.

82735249058 is a deficient number, since it is larger than the sum of its proper divisors (75407771998).

82735249058 is a wasteful number, since it uses less digits than its factorization.

82735249058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59799.

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 82735249058 in words is "eighty-two billion, seven hundred thirty-five million, two hundred forty-nine thousand, fifty-eight".

Divisors: 1 2 7 11 14 22 71 77 127 142 154 254 497 781 889 994 1397 1562 1778 2794 5467 9017 9779 10934 18034 19558 59581 63119 99187 119162 126238 198374 417067 655391 694309 834134 1310782 1388618 4230251 4587737 7566787 8460502 9175474 15133574 29611757 46532761 52967509 59223514 83234657 93065522 105935018 166469314 325729327 537241877 582642599 651458654 1074483754 1165285198 3760693139 5909660647 7521386278 11819321294 41367624529 82735249058