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28832590505 = 5137241174653
BaseRepresentation
bin11010110110100011…
…100110101010101001
32202102101121100121102
4122312203212222221
5433022120344010
621125010251145
72040332655425
oct326643465251
982371540542
1028832590505
1111256277aa4
125707b86ab5
132946571a54
14157739db85
15b3b3c9ba5
hex6b68e6aa9

28832590505 has 16 divisors (see below), whose sum is σ = 34996469904. Its totient is φ = 22802565120.

The previous prime is 28832590487. The next prime is 28832590513. The reversal of 28832590505 is 50509523882.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2189210521 + 26643379984 = 46789^2 + 163228^2 .

It is a de Polignac number, because none of the positive numbers 2k-28832590505 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28832590505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77759 + ... + 252411.

It is an arithmetic number, because the mean of its divisors is an integer number (2187279369).

Almost surely, 228832590505 is an apocalyptic number.

It is an amenable number.

28832590505 is a deficient number, since it is larger than the sum of its proper divisors (6163879399).

28832590505 is a wasteful number, since it uses less digits than its factorization.

28832590505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175036.

The product of its (nonzero) digits is 864000, while the sum is 47.

The spelling of 28832590505 in words is "twenty-eight billion, eight hundred thirty-two million, five hundred ninety thousand, five hundred five".

Divisors: 1 5 137 241 685 1205 33017 165085 174653 873265 23927461 42091373 119637305 210456865 5766518101 28832590505