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10641663 = 3223101509
BaseRepresentation
bin101000100110…
…000011111111
3202000122121200
4220212003333
510211013123
61020030543
7156311154
oct50460377
922018550
1010641663
11600926a
123692453
132287956
1415b022b
15e03143
hexa260ff

10641663 has 24 divisors (see below), whose sum is σ = 16230240. Its totient is φ = 6705600.

The previous prime is 10641661. The next prime is 10641667. The reversal of 10641663 is 36614601.

10641663 is a `hidden beast` number, since 10 + 641 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 10641663 - 21 = 10641661 is a prime.

It is a super-2 number, since 2×106416632 = 226489982811138, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10641661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20653 + ... + 21161.

It is an arithmetic number, because the mean of its divisors is an integer number (676260).

Almost surely, 210641663 is an apocalyptic number.

10641663 is a deficient number, since it is larger than the sum of its proper divisors (5588577).

10641663 is a wasteful number, since it uses less digits than its factorization.

10641663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10641663 is about 3262.1561887807. The cubic root of 10641663 is about 219.9563480886.

The spelling of 10641663 in words is "ten million, six hundred forty-one thousand, six hundred sixty-three".

Divisors: 1 3 9 23 69 101 207 303 509 909 1527 2323 4581 6969 11707 20907 35121 51409 105363 154227 462681 1182407 3547221 10641663