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3206164129 = 7280892
BaseRepresentation
bin1011111100011010…
…0010111010100001
322021102222000100121
42333012202322201
523031234223004
61250051120241
7142310642200
oct27706427241
98242860317
103206164129
1113a5883623
127558a3081
133c131944c
14225b51237
1513b719854
hexbf1a2ea1

3206164129 has 9 divisors (see below), whose sum is σ = 3730080627. Its totient is φ = 2747800944.

The previous prime is 3206164123. The next prime is 3206164153. The reversal of 3206164129 is 9214616023.

It is a happy number.

The square root of 3206164129 is 56623.

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., 38725729 + 3167438400 = 6223^2 + 56280^2 .

It is not a de Polignac number, because 3206164129 - 29 = 3206163617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3206164094 and 3206164103.

It is not an unprimeable number, because it can be changed into a prime (3206164123) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 392317 + ... + 400405.

It is an arithmetic number, because the mean of its divisors is an integer number (414453403).

Almost surely, 23206164129 is an apocalyptic number.

3206164129 is the 56623-rd square number.

3206164129 is the 28312-nd centered octagonal number.

It is an amenable number.

3206164129 is a deficient number, since it is larger than the sum of its proper divisors (523916498).

3206164129 is an frugal number, since it uses more digits than its factorization.

3206164129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16192 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 3206164129 is about 1474.5581944439.

The spelling of 3206164129 in words is "three billion, two hundred six million, one hundred sixty-four thousand, one hundred twenty-nine".

Divisors: 1 7 49 8089 56623 396361 65431921 458023447 3206164129