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2768127769 = 11247832
BaseRepresentation
bin1010010011111110…
…0100011100011001
321010220201110102201
42210333210130121
521132120042034
61134402330201
7125411461231
oct24477443431
97126643381
102768127769
1111a0599400
12653059961
1335164b034
141c38c8cc1
15113041014
hexa4fe4719

2768127769 has 9 divisors (see below), whose sum is σ = 3043289109. Its totient is φ = 2515953660.

The previous prime is 2768127743. The next prime is 2768127797. The reversal of 2768127769 is 9677218672.

The square root of 2768127769 is 52613.

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

It is not a de Polignac number, because 2768127769 - 25 = 2768127737 is a prime.

It is a super-2 number, since 2×27681277692 = 15325062691017834722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2768125769) 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 8 ways as a sum of consecutive naturals, for example, 576352 + ... + 581134.

Almost surely, 22768127769 is an apocalyptic number.

2768127769 is the 52613-rd square number.

2768127769 is the 26307-th centered octagonal number.

It is an amenable number.

2768127769 is a deficient number, since it is larger than the sum of its proper divisors (275161340).

2768127769 is an frugal number, since it uses more digits than its factorization.

2768127769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9588 (or 4794 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 55.

The cubic root of 2768127769 is about 1404.0913936401.

It can be divided in two parts, 2768127 and 769, that added together give a square (2768896 = 16642).

The spelling of 2768127769 in words is "two billion, seven hundred sixty-eight million, one hundred twenty-seven thousand, seven hundred sixty-nine".

Divisors: 1 11 121 4783 52613 578743 22877089 251647979 2768127769