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2128788967369 = 532275292
BaseRepresentation
bin11110111110100101101…
…101011100111111001001
321112111202222000021010111
4132332211231130333021
5234334224433423434
64305541355314321
7306541242444031
oct36764555347711
97474688007114
102128788967369
117508a59691a9
122a46a714b9a1
13125989580b3c
14750691968c1
153a594876964
hex1efa5b5cfc9

2128788967369 has 9 divisors (see below), whose sum is σ = 2169791461173. Its totient is φ = 2088547267872.

The previous prime is 2128788967321. The next prime is 2128788967397. The reversal of 2128788967369 is 9637698878212.

The square root of 2128788967369 is 1459037.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12311012025 + 2116477955344 = 110955^2 + 1454812^2 .

It is not a de Polignac number, because 2128788967369 - 27 = 2128788967241 is a prime.

It is a super-2 number, since 2×21287889673692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2128788967295 and 2128788967304.

It is not an unprimeable number, because it can be changed into a prime (2128788967399) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77315197 + ... + 77342725.

Almost surely, 22128788967369 is an apocalyptic number.

2128788967369 is the 1459037-th square number.

2128788967369 is the 729519-th centered octagonal number.

It is an amenable number.

2128788967369 is a deficient number, since it is larger than the sum of its proper divisors (41002493804).

2128788967369 is an frugal number, since it uses more digits than its factorization.

2128788967369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55164 (or 27582 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 76.

The spelling of 2128788967369 in words is "two trillion, one hundred twenty-eight billion, seven hundred eighty-eight million, nine hundred sixty-seven thousand, three hundred sixty-nine".

Divisors: 1 53 2809 27529 1459037 77328961 757845841 40165829573 2128788967369