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10442165568 = 263331164309
BaseRepresentation
bin10011011100110011…
…01100110101000000
3222221201202222020220
421232121230311000
5132341143244233
64444055503040
7516523641252
oct115631546500
928851688226
1010442165568
11447936a5aa
122035087a80
13ca54a31c3
14710b81cd2
15411aeeeb3
hex26e66cd40

10442165568 has 56 divisors (see below), whose sum is σ = 27711867360. Its totient is φ = 3470184960.

The previous prime is 10442165557. The next prime is 10442165593. The reversal of 10442165568 is 86556124401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18603 + ... + 145706.

Almost surely, 210442165568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442165568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13855933680).

10442165568 is an abundant number, since it is smaller than the sum of its proper divisors (17269701792).

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

10442165568 is a wasteful number, since it uses less digits than its factorization.

10442165568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164655 (or 164645 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

Adding to 10442165568 its reverse (86556124401), we get a palindrome (96998289969).

It can be divided in two parts, 1044 and 2165568, that added together give a palindrome (2166612).

The spelling of 10442165568 in words is "ten billion, four hundred forty-two million, one hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 993 1324 1986 2648 3972 5296 7944 10592 15888 21184 31776 63552 164309 328618 492927 657236 985854 1314472 1971708 2628944 3943416 5257888 7886832 10515776 15773664 31547328 54386279 108772558 163158837 217545116 326317674 435090232 652635348 870180464 1305270696 1740360928 2610541392 3480721856 5221082784 10442165568