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82077218685 = 325711191246711
BaseRepresentation
bin100110001110000101…
…1101111011101111101
321211212002202201100100
41030130023233131331
52321043231444220
6101412235351313
75633643563520
oct1143413573575
9254762681310
1082077218685
11318994a5240
1213aa75b2539
1379805a75b7
143d889b4bb7
152205a35d90
hex131c2ef77d

82077218685 has 96 divisors (see below), whose sum is σ = 186707589120. Its totient is φ = 32314723200.

The previous prime is 82077218683. The next prime is 82077218689. The reversal of 82077218685 is 58681277028.

It is not a de Polignac number, because 82077218685 - 21 = 82077218683 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82077218683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557521 + ... + 689190.

It is an arithmetic number, because the mean of its divisors is an integer number (1944870720).

Almost surely, 282077218685 is an apocalyptic number.

It is an amenable number.

82077218685 is an abundant number, since it is smaller than the sum of its proper divisors (104630370435).

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

82077218685 is a wasteful number, since it uses less digits than its factorization.

82077218685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246759 (or 1246756 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 82077218685 in words is "eighty-two billion, seventy-seven million, two hundred eighteen thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 19 21 33 35 45 55 57 63 77 95 99 105 133 165 171 209 231 285 315 385 399 495 627 665 693 855 1045 1155 1197 1463 1881 1995 3135 3465 4389 5985 7315 9405 13167 21945 65835 1246711 3740133 6233555 8726977 11220399 13713821 18700665 23687509 26180931 41141463 43634885 56101995 68569105 71062527 78542793 95996747 118437545 123424389 130904655 165812563 205707315 213187581 260562599 287990241 355312635 392713965 479983735 497437689 617121945 781687797 829062815 863970723 1065937905 1302812995 1439951205 1492313067 1823938193 2345063391 2487188445 3908438985 4319853615 5471814579 7461565335 9119690965 11725316955 16415443737 27359072895 82077218685