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2083800077 = 3726124953
BaseRepresentation
bin111110000110100…
…0100010000001101
312101020001000022122
41330031010100031
513231423100302
6542435022325
7102432002612
oct17415042015
95336030278
102083800077
1197a283927
124a1a3a9a5
132729382c8
1415aa70509
15c2e173a2
hex7c34440d

2083800077 has 12 divisors (see below), whose sum is σ = 2176837236. Its totient is φ = 1994163840.

The previous prime is 2083800073. The next prime is 2083800079. The reversal of 2083800077 is 7700083802.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 148328041 + 1935472036 = 12179^2 + 43994^2 .

It is not a de Polignac number, because 2083800077 - 22 = 2083800073 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083800073) 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 11 ways as a sum of consecutive naturals, for example, 71033 + ... + 95985.

It is an arithmetic number, because the mean of its divisors is an integer number (181403103).

Almost surely, 22083800077 is an apocalyptic number.

It is an amenable number.

2083800077 is a deficient number, since it is larger than the sum of its proper divisors (93037159).

2083800077 is an equidigital number, since it uses as much as digits as its factorization.

2083800077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25088 (or 25051 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 2083800077 is about 45648.6590931212. The cubic root of 2083800077 is about 1277.2777588872.

Adding to 2083800077 its reverse (7700083802), we get a palindrome (9783883879).

The spelling of 2083800077 in words is "two billion, eighty-three million, eight hundred thousand, seventy-seven".

Divisors: 1 37 61 1369 2257 24953 83509 923261 1522133 34160657 56318921 2083800077