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3696761601 = 3213215592
BaseRepresentation
bin1101110001011000…
…0001101100000001
3100112122002221120100
43130112001230001
530032332332401
61410454233013
7160415645421
oct33426015401
910478087510
103696761601
1116277a8785
12872055769
1346bb5b900
14270d7a481
15169826b86
hexdc581b01

3696761601 has 27 divisors (see below), whose sum is σ = 5785825539. Its totient is φ = 2273470992.

The previous prime is 3696761569. The next prime is 3696761609. The reversal of 3696761601 is 1061676963.

The square root of 3696761601 is 60801.

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

3696761601 is a `hidden beast` number, since 36 + 9 + 6 + 7 + 6 + 1 + 601 = 666.

3696761601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 546858225 + 3149903376 = 23385^2 + 56124^2 .

It is not a de Polignac number, because 3696761601 - 25 = 3696761569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3696761609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2370460 + ... + 2372018.

Almost surely, 23696761601 is an apocalyptic number.

3696761601 is the 60801-st square number.

3696761601 is the 30401-st centered octagonal number.

It is an amenable number.

3696761601 is a deficient number, since it is larger than the sum of its proper divisors (2089063938).

3696761601 is an equidigital number, since it uses as much as digits as its factorization.

3696761601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The cubic root of 3696761601 is about 1546.2290016835.

The spelling of 3696761601 in words is "three billion, six hundred ninety-six million, seven hundred sixty-one thousand, six hundred one".

Divisors: 1 3 9 13 39 117 169 507 1521 1559 4677 14031 20267 60801 182403 263471 790413 2371239 2430481 7291443 21874329 31596253 94788759 284366277 410751289 1232253867 3696761601