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86074369876 = 2211174311232383
BaseRepresentation
bin101000000101001101…
…1101010011101010100
322020011200010000222001
41100022123222131110
52402240014314001
6103313024245044
76135001033525
oct1201233523524
9266150100861
1086074369876
113355a813080
1214822170784
13816973c411
1442477c684c
15238b8e7001
hex140a6ea754

86074369876 has 96 divisors (see below), whose sum is σ = 178269493248. Its totient is φ = 35919797760.

The previous prime is 86074369817. The next prime is 86074369879. The reversal of 86074369876 is 67896347068.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86074369879) 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 31 ways as a sum of consecutive naturals, for example, 36118981 + ... + 36121363.

It is an arithmetic number, because the mean of its divisors is an integer number (1856973888).

Almost surely, 286074369876 is an apocalyptic number.

86074369876 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

86074369876 is an abundant number, since it is smaller than the sum of its proper divisors (92195123372).

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

86074369876 is a wasteful number, since it uses less digits than its factorization.

86074369876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

The spelling of 86074369876 in words is "eighty-six billion, seventy-four million, three hundred sixty-nine thousand, eight hundred seventy-six".

Divisors: 1 2 4 11 17 22 34 43 44 68 86 172 187 374 473 731 748 946 1123 1462 1892 2246 2383 2924 4492 4766 8041 9532 12353 16082 19091 24706 26213 32164 38182 40511 48289 49412 52426 76364 81022 96578 102469 104852 162044 193156 204938 210001 409876 420002 445621 531179 820913 840004 891242 1062358 1127159 1641826 1741973 1782484 2124716 2254318 2676109 3283652 3483946 4508636 5352218 6967892 9030043 10704436 18060086 19161703 29437199 36120172 38323406 45493853 58874398 76646812 90987706 115072687 117748796 181975412 230145374 460290748 500432383 1000864766 1265799557 1956235679 2001729532 2531599114 3912471358 5063198228 7824942716 21518592469 43037184938 86074369876