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83782549989 = 344139296421
BaseRepresentation
bin100111000000111010…
…1000100000111100101
322000020221122112010000
41032001311010013211
52333041313044424
6102253354451513
76024131632065
oct1160165040745
9260227575100
1083782549989
1132594079956
12142a2733b99
137b9299c688
1440ab2873a5
1522a55de3c9
hex1381d441e5

83782549989 has 40 divisors (see below), whose sum is σ = 128261853720. Its totient is φ = 54470361600.

The previous prime is 83782549987. The next prime is 83782549997. The reversal of 83782549989 is 98994528738.

83782549989 is a `hidden beast` number, since 8 + 3 + 78 + 2 + 549 + 9 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3461321889 + 80321228100 = 58833^2 + 283410^2 .

It is not a de Polignac number, because 83782549989 - 21 = 83782549987 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83782549987) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13044999 + ... + 13051419.

It is an arithmetic number, because the mean of its divisors is an integer number (3206546343).

Almost surely, 283782549989 is an apocalyptic number.

It is an amenable number.

83782549989 is a deficient number, since it is larger than the sum of its proper divisors (44479303731).

83782549989 is a wasteful number, since it uses less digits than its factorization.

83782549989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10394 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 83782549989 in words is "eighty-three billion, seven hundred eighty-two million, five hundred forty-nine thousand, nine hundred eighty-nine".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 3929 6421 11787 19263 35361 57789 106083 161089 173367 263261 318249 483267 520101 789783 1449801 2369349 4349403 7108047 13048209 21324141 25228109 75684327 227052981 681158943 1034352469 2043476829 3103057407 9309172221 27927516663 83782549989