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290525443967 = 112127179105619
BaseRepresentation
bin1000011101001001010…
…10100111011101111111
31000202220012212201020102
410032210222213131333
514224444003201332
6341244320311315
726663330346113
oct4164452473577
91022805781212
10290525443967
11102236048100
124838047253b
132151cc64835
14100c0ab9743
1578559e3062
hex43a4aa777f

290525443967 has 24 divisors (see below), whose sum is σ = 323653478400. Its totient is φ = 260568055440.

The previous prime is 290525443963. The next prime is 290525444009. The reversal of 290525443967 is 769344525092.

It is not a de Polignac number, because 290525443967 - 22 = 290525443963 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290525443961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2697884 + ... + 2803502.

It is an arithmetic number, because the mean of its divisors is an integer number (13485561600).

Almost surely, 2290525443967 is an apocalyptic number.

290525443967 is a deficient number, since it is larger than the sum of its proper divisors (33128034433).

290525443967 is a wasteful number, since it uses less digits than its factorization.

290525443967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105947 (or 105936 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 290525443967 in words is "two hundred ninety billion, five hundred twenty-five million, four hundred forty-three thousand, nine hundred sixty-seven".

Divisors: 1 11 121 127 179 1397 1969 15367 21659 22733 105619 250063 1161809 2750693 12779899 13413613 18905801 147549743 207963811 1623047173 2287601921 2401036727 26411403997 290525443967