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2080180441 = 3721937873
BaseRepresentation
bin111101111111101…
…0000100011011001
312100222020010010001
41323333100203121
513230011233231
6542225253001
7102356146003
oct17377204331
95328203101
102080180441
11978231399
124a0794161
13271c6b901
1415a3ab373
15c294eb61
hex7bfd08d9

2080180441 has 12 divisors (see below), whose sum is σ = 2149271292. Its totient is φ = 2013216768.

The previous prime is 2080180433. The next prime is 2080180447. The reversal of 2080180441 is 1440810802.

It can be written as a sum of positive squares in 6 ways, for example, as 455625 + 2079724816 = 675^2 + 45604^2 .

It is not a de Polignac number, because 2080180441 - 23 = 2080180433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2080180447) 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 11 ways as a sum of consecutive naturals, for example, 260281 + ... + 268153.

It is an arithmetic number, because the mean of its divisors is an integer number (179105941).

Almost surely, 22080180441 is an apocalyptic number.

It is an amenable number.

2080180441 is a deficient number, since it is larger than the sum of its proper divisors (69090851).

2080180441 is an equidigital number, since it uses as much as digits as its factorization.

2080180441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2080180441 is about 45608.9951763904. The cubic root of 2080180441 is about 1276.5377710591.

The spelling of 2080180441 in words is "two billion, eighty million, one hundred eighty thousand, four hundred forty-one".

Divisors: 1 37 193 1369 7141 7873 264217 291301 1519489 10778137 56221093 2080180441