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56677277665 = 5291013870077
BaseRepresentation
bin110100110010001110…
…101001111111100001
312102021221022000121001
4310302032221333201
51412033340341130
642012010432001
74044341624401
oct646216517741
9172257260531
1056677277665
1122044933648
12ab99132601
1354632505b8
142a59480801
15171abb26ca
hexd323a9fe1

56677277665 has 16 divisors (see below), whose sum is σ = 71054632080. Its totient is φ = 43344851200.

The previous prime is 56677277651. The next prime is 56677277669.

56677277665 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 339406929 + 56337870736 = 18423^2 + 237356^2 .

It is not a de Polignac number, because 56677277665 - 225 = 56643723233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56677277597 and 56677277606.

It is not an unprimeable number, because it can be changed into a prime (56677277669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920394 + ... + 1949683.

It is an arithmetic number, because the mean of its divisors is an integer number (4440914505).

Almost surely, 256677277665 is an apocalyptic number.

It is an amenable number.

56677277665 is a deficient number, since it is larger than the sum of its proper divisors (14377354415).

56677277665 is a wasteful number, since it uses less digits than its factorization.

56677277665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870212.

The product of its digits is 155584800, while the sum is 64.

The spelling of 56677277665 in words is "fifty-six billion, six hundred seventy-seven million, two hundred seventy-seven thousand, six hundred sixty-five".

Divisors: 1 5 29 101 145 505 2929 14645 3870077 19350385 112232233 390877777 561161165 1954388885 11335455533 56677277665