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4282833939057 = 3229223663711087
BaseRepresentation
bin111110010100101100110…
…010111010101001110001
3120011102202001122110222100
4332110230302322221301
51030132220442022212
613035301242531013
7621265421552532
oct76245462725161
916142661573870
104282833939057
111401381118243
12592060506a69
13250b3c40081b
1410b40c6d6689
15766165ddbdc
hex3e52ccbaa71

4282833939057 has 48 divisors (see below), whose sum is σ = 6429883299840. Its totient is φ = 2743743494016.

The previous prime is 4282833939029. The next prime is 4282833939091. The reversal of 4282833939057 is 7509393382824.

4282833939057 is a `hidden beast` number, since 4 + 2 + 82 + 83 + 393 + 90 + 5 + 7 = 666.

4282833939057 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4282833939057 - 26 = 4282833938993 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4282833938985 and 4282833939003.

It is not an unprimeable number, because it can be changed into a prime (4282833439057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386287768 + ... + 386298854.

It is an arithmetic number, because the mean of its divisors is an integer number (133955902080).

Almost surely, 24282833939057 is an apocalyptic number.

It is an amenable number.

4282833939057 is a deficient number, since it is larger than the sum of its proper divisors (2147049360783).

4282833939057 is a wasteful number, since it uses less digits than its factorization.

4282833939057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17982 (or 17979 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4282833939057 in words is "four trillion, two hundred eighty-two billion, eight hundred thirty-three million, nine hundred thirty-nine thousand, fifty-seven".

Divisors: 1 3 9 29 87 223 261 669 2007 6467 6637 11087 19401 19911 33261 58203 59733 99783 192473 321523 577419 964569 1480051 1732257 2472401 2893707 4440153 7417203 13320459 22251609 42921479 71699629 73584419 128764437 215098887 220753257 386293311 645296661 662259771 2133948151 6401844453 16409325437 19205533359 49227976311 147683928933 475870437673 1427611313019 4282833939057