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1683133641 = 33722973877
BaseRepresentation
bin110010001010010…
…1001010011001001
311100022010001022000
41210110221103021
511421340234031
6435003221213
756465254110
oct14424512311
94308101260
101683133641
117940a3242
123ab817809
1320a922587
1411d774c77
159cb713e6
hex645294c9

1683133641 has 32 divisors (see below), whose sum is σ = 2851726080. Its totient is φ = 961123968.

The previous prime is 1683133633. The next prime is 1683133643. The reversal of 1683133641 is 1463313861.

1683133641 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 1 + 3 + 3 + 641 = 666.

It is not a de Polignac number, because 1683133641 - 23 = 1683133633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1683133596 and 1683133605.

It is not an unprimeable number, because it can be changed into a prime (1683133643) 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 31 ways as a sum of consecutive naturals, for example, 432195 + ... + 436071.

It is an arithmetic number, because the mean of its divisors is an integer number (89116440).

Almost surely, 21683133641 is an apocalyptic number.

It is an amenable number.

1683133641 is a deficient number, since it is larger than the sum of its proper divisors (1168592439).

1683133641 is a wasteful number, since it uses less digits than its factorization.

1683133641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6184 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1683133641 is about 41026.0117608329. The cubic root of 1683133641 is about 1189.5230631182.

The spelling of 1683133641 in words is "one billion, six hundred eighty-three million, one hundred thirty-three thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 2297 3877 6891 11631 16079 20673 27139 34893 48237 62019 81417 104679 144711 244251 434133 732753 8905469 26716407 62338283 80149221 187014849 240447663 561044547 1683133641