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3120417677 = 13172830561
BaseRepresentation
bin1011100111111101…
…1100101110001101
322001110121122100002
42321333130232031
522342311331202
61233345214045
7140220053426
oct27177345615
98043548302
103120417677
111361437a93
12731031325
133a96265c0
142185d064d
15133e2d302
hexb9fdcb8d

3120417677 has 12 divisors (see below), whose sum is σ = 3569755476. Its totient is φ = 2710947840.

The previous prime is 3120417673. The next prime is 3120417691. The reversal of 3120417677 is 7767140213.

It can be written as a sum of positive squares in 6 ways, for example, as 88153321 + 3032264356 = 9389^2 + 55066^2 .

It is not a de Polignac number, because 3120417677 - 22 = 3120417673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3120417677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120417673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411524 + ... + 419037.

It is an arithmetic number, because the mean of its divisors is an integer number (297479623).

Almost surely, 23120417677 is an apocalyptic number.

It is an amenable number.

3120417677 is a deficient number, since it is larger than the sum of its proper divisors (449337799).

3120417677 is a wasteful number, since it uses less digits than its factorization.

3120417677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830608 (or 830591 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 3120417677 is about 55860.6988588578. The cubic root of 3120417677 is about 1461.2939172050.

The spelling of 3120417677 in words is "three billion, one hundred twenty million, four hundred seventeen thousand, six hundred seventy-seven".

Divisors: 1 13 17 221 289 3757 830561 10797293 14119537 183553981 240032129 3120417677