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82018936185 = 351719313714759
BaseRepresentation
bin100110001100010110…
…1011010010101111001
321211201001002122210020
41030120231122111321
52320433321424220
6101402354241053
75632335311634
oct1143055322571
9254631078706
1082018936185
113186960778a
1213a8bb86189
1379714ac304
143d80d62c1b
152200872040
hex1318b5a579

82018936185 has 128 divisors (see below), whose sum is σ = 155072102400. Its totient is φ = 36722626560.

The previous prime is 82018936177. The next prime is 82018936189. The reversal of 82018936185 is 58163981028.

It is not a de Polignac number, because 82018936185 - 23 = 82018936177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82018936189) 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 127 ways as a sum of consecutive naturals, for example, 5549836 + ... + 5564594.

It is an arithmetic number, because the mean of its divisors is an integer number (1211500800).

Almost surely, 282018936185 is an apocalyptic number.

82018936185 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82018936185 is a deficient number, since it is larger than the sum of its proper divisors (73053166215).

82018936185 is a wasteful number, since it uses less digits than its factorization.

82018936185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14871.

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 82018936185 in words is "eighty-two billion, eighteen million, nine hundred thirty-six thousand, one hundred eighty-five".

Divisors: 1 3 5 15 17 19 31 37 51 57 85 93 95 111 155 185 255 285 323 465 527 555 589 629 703 969 1147 1581 1615 1767 1887 2109 2635 2945 3145 3441 3515 4845 5735 7905 8835 9435 10013 10545 11951 14759 17205 19499 21793 30039 35853 44277 50065 58497 59755 65379 73795 97495 108965 150195 179265 221385 250903 280421 292485 326895 370481 457529 546083 752709 841263 1111443 1254515 1372587 1402105 1638249 1852405 2287645 2730415 3763545 4206315 4767157 5557215 6862935 7777993 8191245 8693051 9283411 10375577 14301471 16928573 23333979 23835785 26079153 27850233 31126731 38889965 43465255 46417055 50785719 51877885 71507355 84642865 116669895 130395765 139251165 147781867 155633655 176384809 253928595 287785741 321642887 443345601 529154427 738909335 863357223 881924045 964928661 1438928705 1608214435 2216728005 2645772135 4316786115 4824643305 5467929079 16403787237 27339645395 82018936185