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4032381227648 = 271715711803289
BaseRepresentation
bin111010101011011100101…
…001101001001010000000
3112021111021120200111112212
4322223130221221022000
51012031304043241043
612324241140041252
7564221110621454
oct72533451511200
915244246614485
104032381227648
11131513a096234
12551604393228
13233337605a77
14dd24db1c664
156ed58b9d018
hex3aadca69280

4032381227648 has 64 divisors (see below), whose sum is σ = 8559981973800. Its totient is φ = 1885504438272.

The previous prime is 4032381227647. The next prime is 4032381227723. The reversal of 4032381227648 is 8467221832304.

It can be written as a sum of positive squares in 4 ways, for example, as 2286410119744 + 1745971107904 = 1512088^2 + 1321352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40323812276482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4032381227596 and 4032381227605.

It is not an unprimeable number, because it can be changed into a prime (4032381227647) 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 7 ways as a sum of consecutive naturals, for example, 5560013 + ... + 6243276.

Almost surely, 24032381227648 is an apocalyptic number.

It is an amenable number.

4032381227648 is an abundant number, since it is smaller than the sum of its proper divisors (4527600746152).

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

4032381227648 is a wasteful number, since it uses less digits than its factorization.

4032381227648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803477 (or 11803465 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 4032381227648 in words is "four trillion, thirty-two billion, three hundred eighty-one million, two hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 157 272 314 544 628 1088 1256 2176 2512 2669 5024 5338 10048 10676 20096 21352 42704 85408 170816 341632 11803289 23606578 47213156 94426312 188852624 200655913 377705248 401311826 755410496 802623652 1510820992 1605247304 1853116373 3210494608 3706232746 6420989216 7412465492 12841978432 14824930984 25683956864 29649861968 31502978341 59299723936 63005956682 118599447872 126011913364 237198895744 252023826728 504047653456 1008095306912 2016190613824 4032381227648