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2804528016144 = 243219475889001
BaseRepresentation
bin101000110011111010111…
…001010110101100010000
3100221002222101020122101100
4220303322321112230100
5331422133133004034
65544214332304400
7406422550544241
oct50637271265420
910832871218340
102804528016144
11991436a51088
12393652912100
1317460964652a
1499a50334cc8
154ce43a94099
hex28cfae56b10

2804528016144 has 30 divisors (see below), whose sum is σ = 7848783267806. Its totient is φ = 934842672000.

The previous prime is 2804528016139. The next prime is 2804528016161. The reversal of 2804528016144 is 4416108254082.

2804528016144 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 5 + 28 + 0 + 1 + 614 + 4 = 666.

2804528016144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2492963103744 + 311564912400 = 1578912^2 + 558180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2804528016144.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9737944357 + ... + 9737944644.

Almost surely, 22804528016144 is an apocalyptic number.

2804528016144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2804528016144 is an abundant number, since it is smaller than the sum of its proper divisors (5044255251662).

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

2804528016144 is a wasteful number, since it uses less digits than its factorization.

2804528016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19475889015 (or 19475889006 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 2804528016144 in words is "two trillion, eight hundred four billion, five hundred twenty-eight million, sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19475889001 38951778002 58427667003 77903556004 116855334006 155807112008 175283001009 233710668012 311614224016 350566002018 467421336024 701132004036 934842672048 1402264008072 2804528016144