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86444467290 = 23251496446269
BaseRepresentation
bin101000010000001111…
…1011110010001011010
322021010110111221011200
41100200133132101122
52404014240423130
6103413444535030
76150113563656
oct1204037362132
9267113457150
1086444467290
113372a714805
12149060b1476
1381c831117c
144280a05a66
1523ae150760
hex14207de45a

86444467290 has 48 divisors (see below), whose sum is σ = 226264077000. Its totient is φ = 22897143936.

The previous prime is 86444467289. The next prime is 86444467297. The reversal of 86444467290 is 9276444468.

86444467290 is a `hidden beast` number, since 8 + 6 + 44 + 446 + 72 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74966987601 + 11477479689 = 273801^2 + 107133^2 .

It is not an unprimeable number, because it can be changed into a prime (86444467297) 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 23 ways as a sum of consecutive naturals, for example, 3209725 + ... + 3236544.

Almost surely, 286444467290 is an apocalyptic number.

86444467290 is an abundant number, since it is smaller than the sum of its proper divisors (139819609710).

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

86444467290 is a wasteful number, since it uses less digits than its factorization.

86444467290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446431 (or 6446428 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 86444467290 in words is "eighty-six billion, four hundred forty-four million, four hundred sixty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 6446269 12892538 19338807 32231345 38677614 58016421 64462690 96694035 116032842 193388070 290082105 580164210 960494081 1920988162 2881482243 4802470405 5762964486 8644446729 9604940810 14407411215 17288893458 28814822430 43222233645 86444467290