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6401800808 = 2313299972129
BaseRepresentation
bin1011111011001001…
…11011101001101000
3121112011010011202122
411331210323221220
5101102330111213
62535124450412
7314433260204
oct57544735150
917464104678
106401800808
112795716777
1212a7b49a08
137b03bac20
1444a321b04
15277054d08
hex17d93ba68

6401800808 has 64 divisors (see below), whose sum is σ = 13392162000. Its totient is φ = 2848591872.

The previous prime is 6401800799. The next prime is 6401800831. The reversal of 6401800808 is 8080081046.

It can be written as a sum of positive squares in 8 ways, for example, as 2497800484 + 3904000324 = 49978^2 + 62482^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3005888 + ... + 3008016.

Almost surely, 26401800808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401800808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696081000).

6401800808 is an abundant number, since it is smaller than the sum of its proper divisors (6990361192).

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

6401800808 is a wasteful number, since it uses less digits than its factorization.

6401800808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 6401800808 is about 80011.2542583854. The cubic root of 6401800808 is about 1856.8096548296.

The spelling of 6401800808 in words is "six billion, four hundred one million, eight hundred thousand, eight hundred eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 997 1508 1994 2129 3016 3988 4258 7976 8516 12961 17032 25922 27677 28913 51844 55354 57826 61741 103688 110708 115652 123482 221416 231304 246964 375869 493928 751738 802633 1503476 1605266 2122613 3006952 3210532 4245226 6421064 8490452 16980904 27593969 55187938 61555777 110375876 123111554 220751752 246223108 492446216 800225101 1600450202 3200900404 6401800808