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11007276160 = 27517198869
BaseRepresentation
bin10100100000001010…
…11011010010000000
31001102010010120020211
422100011123102000
5140020330314120
65020124043504
7536525206066
oct122005332200
931363116224
1011007276160
114739358551
122172393594
1310655a447a
14765c46036
1544652a25a
hex29015b480

11007276160 has 32 divisors (see below), whose sum is σ = 26314271100. Its totient is φ = 4402910208.

The previous prime is 11007276157. The next prime is 11007276169. The reversal of 11007276160 is 6167270011.

It can be written as a sum of positive squares in 2 ways, for example, as 10324185664 + 683090496 = 101608^2 + 26136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11007276169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8598795 + ... + 8600074.

Almost surely, 211007276160 is an apocalyptic number.

11007276160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11007276160 is an abundant number, since it is smaller than the sum of its proper divisors (15306994940).

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

11007276160 is an equidigital number, since it uses as much as digits as its factorization.

11007276160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17198888 (or 17198876 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 11007276160 in words is "eleven billion, seven million, two hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 17198869 34397738 68795476 85994345 137590952 171988690 275181904 343977380 550363808 687954760 1100727616 1375909520 2201455232 2751819040 5503638080 11007276160