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82490708907 = 33103127311751
BaseRepresentation
bin100110011010011010…
…1000101001110101011
321212220220211012022000
41030310311011032223
52322420110141112
6101521250102043
75650124312415
oct1146465051653
9255826735260
1082490708907
1131a909445a2
1213ba1b7a923
137a18160279
143dc788b9b5
15222beb17dc
hex1334d453ab

82490708907 has 64 divisors (see below), whose sum is σ = 124932587520. Its totient is φ = 53785620000.

The previous prime is 82490708851. The next prime is 82490708957. The reversal of 82490708907 is 70980709428.

82490708907 is a `hidden beast` number, since 8 + 2 + 490 + 70 + 89 + 0 + 7 = 666.

It is not a de Polignac number, because 82490708907 - 210 = 82490707883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82490708957) 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 63 ways as a sum of consecutive naturals, for example, 109840782 + ... + 109841532.

It is an arithmetic number, because the mean of its divisors is an integer number (1952071680).

Almost surely, 282490708907 is an apocalyptic number.

82490708907 is a deficient number, since it is larger than the sum of its proper divisors (42441878613).

82490708907 is a wasteful number, since it uses less digits than its factorization.

82490708907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 82490708907 in words is "eighty-two billion, four hundred ninety million, seven hundred eight thousand, nine hundred seven".

Divisors: 1 3 9 27 103 127 309 311 381 751 927 933 1143 2253 2781 2799 3429 6759 8397 13081 20277 32033 39243 39497 77353 95377 96099 117729 118491 232059 233561 286131 288297 353187 355473 696177 700683 858393 864891 1066419 2088531 2102049 2575179 4068191 6306147 9823831 12204573 24056783 29471493 29662247 36613719 72170349 88414479 88986741 109841157 216511047 265243437 266960223 649533141 800880669 3055211441 9165634323 27496902969 82490708907