Search a number
-
+
8280008127 = 321693754319
BaseRepresentation
bin1111011011000011…
…01110010110111111
3210101001021222211200
413231201232112333
5113424140230002
63445341150543
7412120623246
oct75541562677
923331258750
108280008127
113569937726
121730b5b453
13a1c5613c1
1458795595d
15336daab1c
hex1ed86e5bf

8280008127 has 12 divisors (see below), whose sum is σ = 11960938080. Its totient is φ = 5519577888.

The previous prime is 8280008089. The next prime is 8280008131. The reversal of 8280008127 is 7218000828.

8280008127 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-8280008127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8280008091 and 8280008100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8280008227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125274 + ... + 179592.

It is an arithmetic number, because the mean of its divisors is an integer number (996744840).

Almost surely, 28280008127 is an apocalyptic number.

8280008127 is a deficient number, since it is larger than the sum of its proper divisors (3680929953).

8280008127 is a wasteful number, since it uses less digits than its factorization.

8280008127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71262 (or 71259 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8280008127 is about 90994.5499851502. The cubic root of 8280008127 is about 2023.0669457932.

The spelling of 8280008127 in words is "eight billion, two hundred eighty million, eight thousand, one hundred twenty-seven".

Divisors: 1 3 9 16937 50811 54319 152433 162957 488871 920000903 2760002709 8280008127