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10382131674 = 2321162149633
BaseRepresentation
bin10011010101101001…
…01100000111011010
3222210112210221020100
421222310230013122
5132230311203144
64434113040230
7515164443315
oct115264540732
928715727210
1010382131674
114448496212
122018b56076
13c95c139a5
14706bd597c
1540b6e2269
hex26ad2c1da

10382131674 has 24 divisors (see below), whose sum is σ = 22497007572. Its totient is φ = 3460343040.

The previous prime is 10382131649. The next prime is 10382131687. The reversal of 10382131674 is 47613128301.

It is a happy number.

10382131674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8853869025 + 1528262649 = 94095^2 + 39093^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 184362 + ... + 233994.

Almost surely, 210382131674 is an apocalyptic number.

10382131674 is an abundant number, since it is smaller than the sum of its proper divisors (12114875898).

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

10382131674 is a wasteful number, since it uses less digits than its factorization.

10382131674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61262 (or 61259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 10382131674 its reverse (47613128301), we get a palindrome (57995259975).

The spelling of 10382131674 in words is "ten billion, three hundred eighty-two million, one hundred thirty-one thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 11621 23242 34863 49633 69726 99266 104589 148899 209178 297798 446697 893394 576785093 1153570186 1730355279 3460710558 5191065837 10382131674