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808116801 = 38317918131
BaseRepresentation
bin110000001010101…
…110001001000001
32002022121120211220
4300022232021001
53123334214201
6212104425253
726011610442
oct6012561101
92068546756
10808116801
11385185128
121a6778229
13cb56552b
147947d2c9
154ae2c036
hex302ae241

808116801 has 16 divisors (see below), whose sum is σ = 1096623360. Its totient is φ = 529250960.

The previous prime is 808116791. The next prime is 808116823. The reversal of 808116801 is 108611808.

It is a cyclic number.

It is not a de Polignac number, because 808116801 - 29 = 808116289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (808136801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35506 + ... + 53636.

It is an arithmetic number, because the mean of its divisors is an integer number (68538960).

Almost surely, 2808116801 is an apocalyptic number.

It is an amenable number.

808116801 is a deficient number, since it is larger than the sum of its proper divisors (288506559).

808116801 is a wasteful number, since it uses less digits than its factorization.

808116801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18396.

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 808116801 is about 28427.3952552815. The cubic root of 808116801 is about 931.4467792142.

The spelling of 808116801 in words is "eight hundred eight million, one hundred sixteen thousand, eight hundred one".

Divisors: 1 3 83 179 249 537 14857 18131 44571 54393 1504873 3245449 4514619 9736347 269372267 808116801