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2768532768 = 25329612961
BaseRepresentation
bin1010010100000100…
…0111010100100000
321010221111000222200
42211001013110200
521132221022033
61134415133200
7125415066051
oct24501072440
97127430880
102768532768
1111a0845711
12653214200
13351760491
141c3992728
151130c1013
hexa5047520

2768532768 has 36 divisors (see below), whose sum is σ = 7873015878. Its totient is φ = 922844160.

The previous prime is 2768532737. The next prime is 2768532787. The reversal of 2768532768 is 8672358672.

It can be written as a sum of positive squares in only one way, i.e., 2763815184 + 4717584 = 52572^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4806193 + ... + 4806768.

Almost surely, 22768532768 is an apocalyptic number.

It is an amenable number.

2768532768 is an abundant number, since it is smaller than the sum of its proper divisors (5104483110).

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

2768532768 is a wasteful number, since it uses less digits than its factorization.

2768532768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612977 (or 9612966 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2768532768 is about 52616.8487083748. The cubic root of 2768532768 is about 1404.1598668619.

The spelling of 2768532768 in words is "two billion, seven hundred sixty-eight million, five hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9612961 19225922 28838883 38451844 57677766 76903688 86516649 115355532 153807376 173033298 230711064 307614752 346066596 461422128 692133192 922844256 1384266384 2768532768