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10810487168 = 271353122579
BaseRepresentation
bin10100001000101101…
…01111000110000000
31000220101211122111122
422010112233012000
5134114441042133
64544414131412
7531615424205
oct120426570600
930811748448
1010810487168
114648269018
1221184b0b68
1310338a2890
14747a5bcac
15434107498
hex2845af180

10810487168 has 64 divisors (see below), whose sum is σ = 23630972400. Its totient is φ = 4895275008.

The previous prime is 10810487167. The next prime is 10810487201. The reversal of 10810487168 is 86178401801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10810487167) 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 7 ways as a sum of consecutive naturals, for example, 26903 + ... + 149481.

Almost surely, 210810487168 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 10810487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815486200).

10810487168 is an abundant number, since it is smaller than the sum of its proper divisors (12820485232).

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

10810487168 is a wasteful number, since it uses less digits than its factorization.

10810487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122659 (or 122647 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 44.

Adding to 10810487168 its reverse (86178401801), we get a palindrome (96988888969).

The spelling of 10810487168 in words is "ten billion, eight hundred ten million, four hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 416 424 689 832 848 1378 1664 1696 2756 3392 5512 6784 11024 22048 44096 88192 122579 245158 490316 980632 1593527 1961264 3187054 3922528 6374108 6496687 7845056 12748216 12993374 15690112 25496432 25986748 50992864 51973496 84456931 101985728 103946992 168913862 203971456 207893984 337827724 415787968 675655448 831575936 1351310896 2702621792 5405243584 10810487168