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1055785007833 = 8931352377237
BaseRepresentation
bin11110101110100011011…
…00001011101011011001
310201221011110202102222021
433113101230023223121
5114244221430222313
62125004304454441
7136164223331563
oct17272154135331
93657143672867
101055785007833
11377835126a56
1215075031a421
13787386cb10a
14391591c0333
151c6e3e2778d
hexf5d1b0bad9

1055785007833 has 16 divisors (see below), whose sum is σ = 1071411319440. Its totient is φ = 1040244581376.

The previous prime is 1055785007821. The next prime is 1055785007863. The reversal of 1055785007833 is 3387005875501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 58928533504 + 996856474329 = 242752^2 + 998427^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055785007833 - 233 = 1047195073241 is a prime.

It is a super-2 number, since 2×10557850078332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1055785007863) 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 15 ways as a sum of consecutive naturals, for example, 145883491 + ... + 145890727.

It is an arithmetic number, because the mean of its divisors is an integer number (66963207465).

Almost surely, 21055785007833 is an apocalyptic number.

It is an amenable number.

1055785007833 is a deficient number, since it is larger than the sum of its proper divisors (15626311607).

1055785007833 is an equidigital number, since it uses as much as digits as its factorization.

1055785007833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876.

The product of its (nonzero) digits is 3528000, while the sum is 52.

The spelling of 1055785007833 in words is "one trillion, fifty-five billion, seven hundred eighty-five million, seven thousand, eight hundred thirty-three".

Divisors: 1 89 313 5237 7237 27857 466093 644093 1639181 2265181 37900169 145887109 201601109 3373115041 11862752897 1055785007833