Search a number
-
+
8129519000 = 235317478207
BaseRepresentation
bin1111001001000111…
…01001110110011000
3202222120010100120022
413210203221312120
5113122124102000
63422403450012
7405312525401
oct74443516630
922876110508
108129519000
1134a19a0a49
1216aa686908
139c7320995
145719809a8
15328a81585
hex1e48e9d98

8129519000 has 64 divisors (see below), whose sum is σ = 20142120960. Its totient is φ = 3060518400.

The previous prime is 8129518997. The next prime is 8129519011. The reversal of 8129519000 is 9159218.

It is a super-2 number, since 2×81295190002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222104 + ... + 256103.

It is an arithmetic number, because the mean of its divisors is an integer number (314720640).

Almost surely, 28129519000 is an apocalyptic number.

It is an amenable number.

8129519000 is an abundant number, since it is smaller than the sum of its proper divisors (12012601960).

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

8129519000 is a wasteful number, since it uses less digits than its factorization.

8129519000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478245 (or 478231 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 8129519000 is about 90163.8453039798. The cubic root of 8129519000 is about 2010.7355211854.

The spelling of 8129519000 in words is "eight billion, one hundred twenty-nine million, five hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 478207 956414 1912828 2391035 3825656 4782070 8129519 9564140 11955175 16259038 19128280 23910350 32518076 40647595 47820700 59775875 65036152 81295190 95641400 119551750 162590380 203237975 239103500 325180760 406475950 478207000 812951900 1016189875 1625903800 2032379750 4064759500 8129519000