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14475292928 = 28299720101
BaseRepresentation
bin11010111101100101…
…10111000100000000
31101100210211001220022
431132302313010000
5214121133333203
610352211433012
71021465650125
oct153662670400
941323731808
1014475292928
116158a1a908
12297b8b5768
131498c231b5
149b467a74c
1559ac1aa38
hex35ecb7100

14475292928 has 72 divisors (see below), whose sum is σ = 30200038680. Its totient is φ = 6915686400.

The previous prime is 14475292913. The next prime is 14475292963. The reversal of 14475292928 is 82929257441.

It can be written as a sum of positive squares in 4 ways, for example, as 1230045184 + 13245247744 = 35072^2 + 115088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14475292928.

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, 710078 + ... + 730178.

Almost surely, 214475292928 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 14475292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100019340).

14475292928 is an abundant number, since it is smaller than the sum of its proper divisors (15724745752).

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

14475292928 is an equidigital number, since it uses as much as digits as its factorization.

14475292928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20243 (or 20229 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The spelling of 14475292928 in words is "fourteen billion, four hundred seventy-five million, two hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 128 194 232 256 388 464 776 928 1552 1856 2813 3104 3712 5626 6208 7424 11252 12416 20101 22504 24832 40202 45008 80404 90016 160808 180032 321616 360064 582929 643232 720128 1165858 1286464 1949797 2331716 2572928 3899594 4663432 5145856 7799188 9326864 15598376 18653728 31196752 37307456 56544113 62393504 74614912 113088226 124787008 149229824 226176452 249574016 452352904 499148032 904705808 1809411616 3618823232 7237646464 14475292928