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3680746083 = 337222912149
BaseRepresentation
bin1101101101100011…
…1011101001100011
3100111111222021102000
43123120323221203
530014232333313
61405123055043
7160132553100
oct33330735143
910444867360
103680746083
11161975a013
12868811483
13468741c81
1426cbabaa7
15168211673
hexdb63ba63

3680746083 has 48 divisors (see below), whose sum is σ = 6371460000. Its totient is φ = 2093926464.

The previous prime is 3680746079. The next prime is 3680746087. The reversal of 3680746083 is 3806470863.

3680746083 is a `hidden beast` number, since 36 + 8 + 0 + 7 + 4 + 608 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (3680746079) and next prime (3680746087).

It is not a de Polignac number, because 3680746083 - 22 = 3680746079 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3680746087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296893 + ... + 309041.

It is an arithmetic number, because the mean of its divisors is an integer number (132738750).

Almost surely, 23680746083 is an apocalyptic number.

3680746083 is a deficient number, since it is larger than the sum of its proper divisors (2690713917).

3680746083 is a wasteful number, since it uses less digits than its factorization.

3680746083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3680746083 is about 60669.1526477830. The cubic root of 3680746083 is about 1543.9928547807.

The spelling of 3680746083 in words is "three billion, six hundred eighty million, seven hundred forty-six thousand, eighty-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 229 441 687 1323 1603 2061 4809 6183 11221 12149 14427 33663 36447 43281 85043 100989 109341 255129 302967 328023 595301 765387 1785903 2296161 2782121 5357709 8346363 16073127 19474847 25039089 58424541 75117267 136323929 175273623 408971787 525820869 1226915361 3680746083