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10756634500 = 225321513269
BaseRepresentation
bin10100000010010010…
…10011011110000100
31000202122111122112101
422001021103132010
5134012144301000
64535212001444
7530362612303
oct120111233604
930678448471
1010756634500
11461a926787
122102460284
1310256989b1
1474084043a
1542e51ae6a
hex281253784

10756634500 has 24 divisors (see below), whose sum is σ = 23492490840. Its totient is φ = 4302653600.

The previous prime is 10756634491. The next prime is 10756634507. The reversal of 10756634500 is 543665701.

It can be written as a sum of positive squares in 4 ways, for example, as 1829786176 + 8926848324 = 42776^2 + 94482^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10756634500.

It is not an unprimeable number, because it can be changed into a prime (10756634507) 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, 10756135 + ... + 10757134.

It is an arithmetic number, because the mean of its divisors is an integer number (978853785).

Almost surely, 210756634500 is an apocalyptic number.

10756634500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10756634500 is an abundant number, since it is smaller than the sum of its proper divisors (12735856340).

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

10756634500 is a wasteful number, since it uses less digits than its factorization.

10756634500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21513288 (or 21513276 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 10756634500 in words is "ten billion, seven hundred fifty-six million, six hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 21513269 43026538 86053076 107566345 215132690 430265380 537831725 1075663450 2151326900 2689158625 5378317250 10756634500