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56776067765 = 565319998699
BaseRepresentation
bin110100111000000111…
…100000101010110101
312102112211012002010122
4310320013200222311
51412234133132030
642025500101325
74046651420234
oct647007405265
9172484162118
1056776067765
112209567905a
12b006234845
13547a85c491
142a68638b1b
1517246c88e5
hexd381e0ab5

56776067765 has 16 divisors (see below), whose sum is σ = 68277600000. Its totient is φ = 45323399232.

The previous prime is 56776067759. The next prime is 56776067771.

56776067765 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56776067759) and next prime (56776067771).

It is a cyclic number.

It is not a de Polignac number, because 56776067765 - 230 = 55702325941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56776067698 and 56776067707.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6522386 + ... + 6531084.

It is an arithmetic number, because the mean of its divisors is an integer number (4267350000).

Almost surely, 256776067765 is an apocalyptic number.

It is an amenable number.

56776067765 is a deficient number, since it is larger than the sum of its proper divisors (11501532235).

56776067765 is a wasteful number, since it uses less digits than its factorization.

56776067765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11356.

The product of its (nonzero) digits is 77792400, while the sum is 62.

The spelling of 56776067765 in words is "fifty-six billion, seven hundred seventy-six million, sixty-seven thousand, seven hundred sixty-five".

Divisors: 1 5 653 1999 3265 8699 9995 43495 1305347 5680447 6526735 17389301 28402235 86946505 11355213553 56776067765