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3661941636 = 223411302289
BaseRepresentation
bin1101101001000100…
…1100101110000100
3100110012120220120000
43122101030232010
524444424113021
61403212041300
7156513663453
oct33221145604
910405526500
103661941636
11160a085a51
12862463230
13464889a92
1426a4b4b9a
15166749b26
hexda44cb84

3661941636 has 30 divisors (see below), whose sum is σ = 9573039630. Its totient is φ = 1220647104.

The previous prime is 3661941631. The next prime is 3661941677. The reversal of 3661941636 is 6361491663.

3661941636 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 9 + 4 + 1 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3614414400 + 47527236 = 60120^2 + 6894^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3661941591 and 3661941600.

It is not an unprimeable number, because it can be changed into a prime (3661941631) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5650821 + ... + 5651468.

It is an arithmetic number, because the mean of its divisors is an integer number (319101321).

Almost surely, 23661941636 is an apocalyptic number.

3661941636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3661941636 is an abundant number, since it is smaller than the sum of its proper divisors (5911097994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3661941636 is a wasteful number, since it uses less digits than its factorization.

3661941636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302305 (or 11302294 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3661941636 is about 60513.9788478662. The cubic root of 3661941636 is about 1541.3590123047.

The spelling of 3661941636 in words is "three billion, six hundred sixty-one million, nine hundred forty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 11302289 22604578 33906867 45209156 67813734 101720601 135627468 203441202 305161803 406882404 610323606 915485409 1220647212 1830970818 3661941636