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10082013447 = 3114143173293
BaseRepresentation
bin10010110001110111…
…10101000100000111
3222000122002100102110
421120323311010013
5131121443412242
64344232312103
7504561462132
oct113073650407
928018070373
1010082013447
114304040a20
121b54542633
13c489a413c
146b8dd1219
153e01ad39c
hex258ef5107

10082013447 has 32 divisors (see below), whose sum is σ = 15371870976. Its totient is φ = 5822611200.

The previous prime is 10082013439. The next prime is 10082013481. The reversal of 10082013447 is 74431028001.

10082013447 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10082013447 - 23 = 10082013439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082013497) 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, 28468 + ... + 144825.

It is an arithmetic number, because the mean of its divisors is an integer number (480370968).

Almost surely, 210082013447 is an apocalyptic number.

10082013447 is a deficient number, since it is larger than the sum of its proper divisors (5289857529).

10082013447 is a wasteful number, since it uses less digits than its factorization.

10082013447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173391.

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10082013447 in words is "ten billion, eighty-two million, thirteen thousand, four hundred forty-seven".

Divisors: 1 3 11 33 41 43 123 129 451 473 1353 1419 1763 5289 19393 58179 173293 519879 1906223 5718669 7105013 7451599 21315039 22354797 78155143 81967589 234465429 245902767 305515559 916546677 3360671149 10082013447