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28264090900 = 2252282640909
BaseRepresentation
bin11010010100101010…
…111100110100010100
32200221202212120202111
4122110222330310110
5430341101402100
620552341320404
72020260544243
oct322452746424
980852776674
1028264090900
1110a94384911
125589706104
132885855056
141521a9695a
15b065306ba
hex694abcd14

28264090900 has 18 divisors (see below), whose sum is σ = 61333077470. Its totient is φ = 11305636320.

The previous prime is 28264090879. The next prime is 28264090903. The reversal of 28264090900 is 909046282.

It can be written as a sum of positive squares in 3 ways, for example, as 4611496464 + 23652594436 = 67908^2 + 153794^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28264090903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141320355 + ... + 141320554.

Almost surely, 228264090900 is an apocalyptic number.

28264090900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28264090900 is an abundant number, since it is smaller than the sum of its proper divisors (33068986570).

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

28264090900 is a wasteful number, since it uses less digits than its factorization.

28264090900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282640923 (or 282640916 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 28264090900 in words is "twenty-eight billion, two hundred sixty-four million, ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 282640909 565281818 1130563636 1413204545 2826409090 5652818180 7066022725 14132045450 28264090900