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2105249689 = 17226992
BaseRepresentation
bin111110101111011…
…1000111110011001
312102201101202122201
41331132320332121
513302420442224
6544522450201
7103112220124
oct17536707631
95381352581
102105249689
119903a4284
124a9063961
1327720849a
1415d8553bb
15c4c52a44
hex7d7b8f99

2105249689 has 9 divisors (see below), whose sum is σ = 2237201407. Its totient is φ = 1980677344.

The previous prime is 2105249677. The next prime is 2105249821. The reversal of 2105249689 is 9869425012.

The square root of 2105249689 is 45883.

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

It can be written as a sum of positive squares in only one way, i.e., 1639035225 + 466214464 = 40485^2 + 21592^2 .

It is not a de Polignac number, because 2105249689 - 225 = 2071695257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2105249669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 778662 + ... + 781360.

Almost surely, 22105249689 is an apocalyptic number.

2105249689 is the 45883-rd square number.

2105249689 is the 22942-nd centered octagonal number.

It is an amenable number.

2105249689 is a deficient number, since it is larger than the sum of its proper divisors (131951718).

2105249689 is an frugal number, since it uses more digits than its factorization.

2105249689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The cubic root of 2105249689 is about 1281.6453631229.

The spelling of 2105249689 in words is "two billion, one hundred five million, two hundred forty-nine thousand, six hundred eighty-nine".

Divisors: 1 17 289 2699 45883 780011 7284601 123838217 2105249689