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8006016006 = 23217131199721
BaseRepresentation
bin1110111010011001…
…00001110000000110
3202122221201202022100
413131030201300012
5112344020003011
63402232412530
7402253004352
oct73514416006
922587652270
108006016006
11343920735a
121675247146
139a786b4a1
1455d3d2462
1531ccd7d56
hex1dd321c06

8006016006 has 48 divisors (see below), whose sum is σ = 18507039408. Its totient is φ = 2492505600.

The previous prime is 8006015971. The next prime is 8006016043. The reversal of 8006016006 is 6006106008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59775 + ... + 139946.

It is an arithmetic number, because the mean of its divisors is an integer number (385563321).

Almost surely, 28006016006 is an apocalyptic number.

8006016006 is an abundant number, since it is smaller than the sum of its proper divisors (10501023402).

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

8006016006 is a wasteful number, since it uses less digits than its factorization.

8006016006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199877 (or 199874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8006016006 is about 89476.3432757508. The cubic root of 8006016006 is about 2000.5012082180.

The spelling of 8006016006 in words is "eight billion, six million, sixteen thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 102 131 153 262 306 393 786 1179 2227 2358 4454 6681 13362 20043 40086 199721 399442 599163 1198326 1797489 3395257 3594978 6790514 10185771 20371542 26163451 30557313 52326902 61114626 78490353 156980706 235471059 444778667 470942118 889557334 1334336001 2668672002 4003008003 8006016006