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82378863369 = 321119291679043
BaseRepresentation
bin100110010111000101…
…0011011001100001001
321212122010100212001200
41030232022123030021
52322202442111434
6101502212534413
75644265533215
oct1145612331411
9255563325050
1082378863369
1131a337a2370
1213b70621409
1379cac2cb8a
143db6a95945
15222226c199
hex132e29b309

82378863369 has 96 divisors (see below), whose sum is σ = 142215091200. Its totient is φ = 45389393280.

The previous prime is 82378863299. The next prime is 82378863383. The reversal of 82378863369 is 96336887328.

It is not a de Polignac number, because 82378863369 - 211 = 82378861321 is a prime.

It is a super-2 number, since 2×823788633692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82378863769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9105162 + ... + 9114204.

It is an arithmetic number, because the mean of its divisors is an integer number (1481407200).

Almost surely, 282378863369 is an apocalyptic number.

It is an amenable number.

82378863369 is a deficient number, since it is larger than the sum of its proper divisors (59836227831).

82378863369 is a wasteful number, since it uses less digits than its factorization.

82378863369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275 (or 9272 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 82378863369 in words is "eighty-two billion, three hundred seventy-eight million, eight hundred sixty-three thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 19 29 33 57 87 99 167 171 209 261 319 501 551 627 957 1503 1653 1837 1881 2871 3173 4843 4959 5511 6061 9043 9519 14529 16533 18183 27129 28557 34903 43587 53273 54549 81387 92017 99473 104709 159819 171817 262247 276051 298419 314127 479457 515451 786741 828153 895257 1012187 1510181 1546353 1889987 2360223 2884717 3036561 4530543 4982693 5669961 8654151 9109683 13591629 14948079 16611991 17009883 25962453 28693439 43795249 44844237 49835973 54809623 86080317 131385747 149507919 164428869 258240951 315627829 394157241 481747739 493286607 832109731 946883487 1445243217 2496329193 2840650461 4335729651 7488987579 9153207041 27459621123 82378863369