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82108635803073 = 331143179211170227
BaseRepresentation
bin10010101010110101101000…
…000100011110110111000001
3101202201111202000010110121000
4102222311220010132313001
541230231441231144243
6450344104143522213
723203103352531345
oct2252655004366701
9352644660113530
1082108635803073
1124187093385760
129261253bb9369
1336a7a7109c169
14163c117395625
15975c79d8c5d3
hex4aad6811edc1

82108635803073 has 128 divisors (see below), whose sum is σ = 137193418137600. Its totient is φ = 48104641972800.

The previous prime is 82108635803071. The next prime is 82108635803149. The reversal of 82108635803073 is 37030853680128.

82108635803073 is a `hidden beast` number, since 8 + 21 + 0 + 8 + 6 + 3 + 580 + 30 + 7 + 3 = 666.

It is not a de Polignac number, because 82108635803073 - 21 = 82108635803071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82108635803071) 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, 482262786 + ... + 482433012.

It is an arithmetic number, because the mean of its divisors is an integer number (1071823579200).

Almost surely, 282108635803073 is an apocalyptic number.

It is an amenable number.

82108635803073 is a deficient number, since it is larger than the sum of its proper divisors (55084782334527).

82108635803073 is a wasteful number, since it uses less digits than its factorization.

82108635803073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170680 (or 170674 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82108635803073 in words is "eighty-two trillion, one hundred eight billion, six hundred thirty-five million, eight hundred three thousand, seventy-three".

Divisors: 1 3 9 11 27 33 43 99 129 179 211 297 387 473 537 633 1161 1419 1611 1899 1969 2321 4257 4833 5697 5907 6963 7697 9073 12771 17721 20889 23091 27219 37769 53163 62667 69273 81657 84667 99803 113307 170227 207819 244971 254001 299409 339921 415459 510681 762003 898227 1019763 1246377 1532043 1624067 1872497 2286009 2694681 3739131 4596129 4872201 5617491 7319761 11217393 14616603 16852473 17864737 21959283 30470633 35917897 43849809 50557419 53594211 65877849 80517371 91411899 107753691 160782633 197633547 241552113 274235697 323261073 335176963 395096867 482347899 724656339 822707091 969783219 1005530889 1185290601 1310237219 1544469571 2173969017 3016592667 3555871803 3930711657 4633408713 6429303563 9049778001 10667615409 11792134971 13900226139 14412609409 16989165281 19287910689 35376404913 41700678417 43237828227 50967495843 57863732067 70722339193 129713484681 152902487529 173591196201 212167017579 276460053209 389140454043 458707462587 636501052737 829380159627 1909503158211 2488140478881 3041060585299 7464421436643 9123181755897 27369545267691 82108635803073